61233216 has 112 divisors (see below), whose sum is σ = 179466240. Its totient is φ = 18270720.

The previous prime is 61233149. The next prime is 61233223.

It is a happy number.

61233216 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166665 + ... + 167031.

Almost surely, 2^61233216 is an apocalyptic number.

61233216 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 61233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89733120).

61233216 is an abundant number, since it is smaller than the sum of its proper divisors (118233024).

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

61233216 is a wasteful number, since it uses less digits than its factorization.

61233216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 61233216 is about 7825.1655573540. The cubic root of 61233216 is about 394.1507492575.

It can be divided in two parts, 6123 and 3216, that added together give a palindrome (9339).

The spelling of 61233216 in words is "sixty-one million, two hundred thirty-three thousand, two hundred sixteen".