61993008 has 120 divisors (see below), whose sum is σ = 216343296. Its totient is φ = 16099200.

The previous prime is 61993003. The next prime is 61993021. The reversal of 61993008 is 80039916.

61993008 is a `hidden beast` number, since 619 + 9 + 30 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61993003) 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, 8293 + ... + 13883.

Almost surely, 2^61993008 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 61993008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108171648).

61993008 is an abundant number, since it is smaller than the sum of its proper divisors (154350288).

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

61993008 is a wasteful number, since it uses less digits than its factorization.

61993008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 61993008 is about 7873.5638690494. The cubic root of 61993008 is about 395.7742821409.

The spelling of 61993008 in words is "sixty-one million, nine hundred ninety-three thousand, eight".