59661840 has 160 divisors (see below), whose sum is σ = 223914240. Its totient is φ = 12828672.

The previous prime is 59661821. The next prime is 59661859. The reversal of 59661840 is 4816695.

It is an interprime number because it is at equal distance from previous prime (59661821) and next prime (59661859).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27516 + ... + 29604.

It is an arithmetic number, because the mean of its divisors is an integer number (1399464).

Almost surely, 2^59661840 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 59661840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111957120).

59661840 is an abundant number, since it is smaller than the sum of its proper divisors (164252400).

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

59661840 is a wasteful number, since it uses less digits than its factorization.

59661840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 59661840 is about 7724.1077154581. The cubic root of 59661840 is about 390.7499049312.

The spelling of 59661840 in words is "fifty-nine million, six hundred sixty-one thousand, eight hundred forty".