59978688 has 112 divisors (see below), whose sum is σ = 197900544. Its totient is φ = 15575040.

The previous prime is 59978663. The next prime is 59978701. The reversal of 59978688 is 88687995.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12756 + ... + 16812.

Almost surely, 2^59978688 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 59978688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98950272).

59978688 is an abundant number, since it is smaller than the sum of its proper divisors (137921856).

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

59978688 is a wasteful number, since it uses less digits than its factorization.

59978688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4080 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 60.

The square root of 59978688 is about 7744.5908865478. The cubic root of 59978688 is about 391.4404065949.

Subtracting from 59978688 its sum of digits (60), we obtain a triangular number (59978628 = T₁₀₉₅₂).

The spelling of 59978688 in words is "fifty-nine million, nine hundred seventy-eight thousand, six hundred eighty-eight".