59480640 has 168 divisors, whose sum is σ = 215554560. Its totient is φ = 15012864.

The previous prime is 59480633. The next prime is 59480669. The reversal of 59480640 is 4608495.

59480640 is a `hidden beast` number, since 5 + 9 + 4 + 8 + 0 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 59480595 and 59480604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54177 + ... + 55263.

Almost surely, 2^59480640 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 59480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107777280).

59480640 is an abundant number, since it is smaller than the sum of its proper divisors (156073920).

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

59480640 is a wasteful number, since it uses less digits than its factorization.

59480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 59480640 is about 7712.3692857643. The cubic root of 59480640 is about 390.3539193573.

The spelling of 59480640 in words is "fifty-nine million, four hundred eighty thousand, six hundred forty".