59484160 has 96 divisors (see below), whose sum is σ = 147518280. Its totient is φ = 23003136.

The previous prime is 59484157. The next prime is 59484163. The reversal of 59484160 is 6148495.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (59484157) and next prime (59484163).

It can be written as a sum of positive squares in 4 ways, for example, as 52765696 + 6718464 = 7264^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (59484163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378802 + ... + 378958.

Almost surely, 2^59484160 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 59484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73759140).

59484160 is an abundant number, since it is smaller than the sum of its proper divisors (88034120).

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

59484160 is a wasteful number, since it uses less digits than its factorization.

59484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 59484160 is about 7712.5974872283. The cubic root of 59484160 is about 390.3616194465.

The spelling of 59484160 in words is "fifty-nine million, four hundred eighty-four thousand, one hundred sixty".