61833816 has 96 divisors (see below), whose sum is σ = 184738320. Its totient is φ = 18528000.

The previous prime is 61833797. The next prime is 61833817.

61833816 is a `hidden beast` number, since 618 + 3 + 38 + 1 + 6 = 666.

61833816 is nontrivially palindromic in base 10.

61833816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61833816² = 7646841602243712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61833817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79606 + ... + 80378.

Almost surely, 2^61833816 is an apocalyptic number.

61833816 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61833816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92369160).

61833816 is an abundant number, since it is smaller than the sum of its proper divisors (122904504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61833816 is a wasteful number, since it uses less digits than its factorization.

61833816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 890 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 61833816 is about 7863.4480986397. The cubic root of 61833816 is about 395.4352218281.

It can be divided in two parts, 6183 and 3816, that added together give a palindrome (9999).

The spelling of 61833816 in words is "sixty-one million, eight hundred thirty-three thousand, eight hundred sixteen".