61618032 has 60 divisors (see below), whose sum is σ = 197083120. Its totient is φ = 17604864.

The previous prime is 61618019. The next prime is 61618033. The reversal of 61618032 is 23081616.

61618032 is a `hidden beast` number, since 616 + 18 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61617987 and 61618005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61618033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29557 + ... + 31572.

Almost surely, 2^61618032 is an apocalyptic number.

It is an amenable number.

61618032 is an abundant number, since it is smaller than the sum of its proper divisors (135465088).

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

61618032 is a wasteful number, since it uses less digits than its factorization.

61618032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61150 (or 61141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 61618032 is about 7849.7154088540. The cubic root of 61618032 is about 394.9746968783.

Adding to 61618032 its reverse (23081616), we get a palindrome (84699648).

It can be divided in two parts, 6161803 and 2, that added together give a triangular number (6161805 = T₃₅₁₀).

The spelling of 61618032 in words is "sixty-one million, six hundred eighteen thousand, thirty-two".