61007936 has 56 divisors (see below), whose sum is σ = 139049760. Its totient is φ = 26265600.

The previous prime is 61007911. The next prime is 61007953. The reversal of 61007936 is 63970016.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11096 + ... + 15656.

Almost surely, 2^61007936 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 61007936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69524880).

61007936 is an abundant number, since it is smaller than the sum of its proper divisors (78041824).

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

61007936 is a wasteful number, since it uses less digits than its factorization.

61007936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4603 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 61007936 is about 7810.7577097232. The cubic root of 61007936 is about 393.6667886310. Note that the first 3 decimals are identical.

The spelling of 61007936 in words is "sixty-one million, seven thousand, nine hundred thirty-six".