61924608 has 216 divisors, whose sum is σ = 200802560. Its totient is φ = 18800640.

The previous prime is 61924561. The next prime is 61924613. The reversal of 61924608 is 80642916.

61924608 is a `hidden beast` number, since 6 + 192 + 460 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1997553 + ... + 1997583.

Almost surely, 2^61924608 is an apocalyptic number.

61924608 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61924608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100401280).

61924608 is an abundant number, since it is smaller than the sum of its proper divisors (138877952).

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

61924608 is a wasteful number, since it uses less digits than its factorization.

61924608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 61924608 is about 7869.2190209703. The cubic root of 61924608 is about 395.6286693579.

The spelling of 61924608 in words is "sixty-one million, nine hundred twenty-four thousand, six hundred eight".