59242920 has 128 divisors (see below), whose sum is σ = 199290240. Its totient is φ = 13962240.

The previous prime is 59242919. The next prime is 59242921. The reversal of 59242920 is 2924295.

It is an interprime number because it is at equal distance from previous prime (59242919) and next prime (59242921).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (59242921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48234 + ... + 49446.

It is an arithmetic number, because the mean of its divisors is an integer number (1556955).

Almost surely, 2^59242920 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 59242920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99645120).

59242920 is an abundant number, since it is smaller than the sum of its proper divisors (140047320).

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

59242920 is a wasteful number, since it uses less digits than its factorization.

59242920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 59242920 is about 7696.9422500107. The cubic root of 59242920 is about 389.8331962550.

The spelling of 59242920 in words is "fifty-nine million, two hundred forty-two thousand, nine hundred twenty".