61597008 has 120 divisors (see below), whose sum is σ = 193323936. Its totient is φ = 18144000.

The previous prime is 61596937. The next prime is 61597009. The reversal of 61597008 is 80079516.

61597008 is a `hidden beast` number, since 61 + 597 + 0 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61597009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58083 + ... + 59133.

Almost surely, 2^61597008 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 61597008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96661968).

61597008 is an abundant number, since it is smaller than the sum of its proper divisors (131726928).

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

61597008 is a wasteful number, since it uses less digits than its factorization.

61597008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 61597008 is about 7848.3761377753. The cubic root of 61597008 is about 394.9297701344.

The spelling of 61597008 in words is "sixty-one million, five hundred ninety-seven thousand, eight".