61633616 has 20 divisors (see below), whose sum is σ = 130271424. Its totient is φ = 28015200.

The previous prime is 61633603. The next prime is 61633633.

61633616 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×61633616³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174920 + ... + 175271.

Almost surely, 2^61633616 is an apocalyptic number.

It is an amenable number.

61633616 is an abundant number, since it is smaller than the sum of its proper divisors (68637808).

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

61633616 is a wasteful number, since it uses less digits than its factorization.

61633616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350210 (or 350204 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The square root of 61633616 is about 7850.7079935506. The cubic root of 61633616 is about 395.0079921472.

It can be divided in two parts, 6163 and 3616, that added together give a palindrome (9779).

The spelling of 61633616 in words is "sixty-one million, six hundred thirty-three thousand, six hundred sixteen".