61684416 has 140 divisors (see below), whose sum is σ = 186493912. Its totient is φ = 20155392.

The previous prime is 61684349. The next prime is 61684417. The reversal of 61684416 is 61448616.

61684416 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 2×61684416² = 7609934354522112, 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 not an unprimeable number, because it can be changed into a prime (61684417) 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 19 ways as a sum of consecutive naturals, for example, 378351 + ... + 378513.

Almost surely, 2^61684416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93246956).

61684416 is an abundant number, since it is smaller than the sum of its proper divisors (124809496).

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

61684416 is a wasteful number, since it uses less digits than its factorization.

61684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 241 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 61684416 is about 7853.9427041455. The cubic root of 61684416 is about 395.1164875687.

The spelling of 61684416 in words is "sixty-one million, six hundred eighty-four thousand, four hundred sixteen".