59946816 has 112 divisors (see below), whose sum is σ = 166567104. Its totient is φ = 19009536.

The previous prime is 59946787. The next prime is 59946827. The reversal of 59946816 is 61864995.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 437500 + ... + 437636.

Almost surely, 2^59946816 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 59946816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83283552).

59946816 is an abundant number, since it is smaller than the sum of its proper divisors (106620288).

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

59946816 is a wasteful number, since it uses less digits than its factorization.

59946816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 59946816 is about 7742.5329188838. The cubic root of 59946816 is about 391.3710586338.

The spelling of 59946816 in words is "fifty-nine million, nine hundred forty-six thousand, eight hundred sixteen".