57346080 has 96 divisors (see below), whose sum is σ = 197080128. Its totient is φ = 13900800.

The previous prime is 57346067. The next prime is 57346097. The reversal of 57346080 is 8064375.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 151 + ... + 10710.

It is an arithmetic number, because the mean of its divisors is an integer number (2052918).

Almost surely, 2^57346080 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 57346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98540064).

57346080 is an abundant number, since it is smaller than the sum of its proper divisors (139734048).

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

57346080 is a wasteful number, since it uses less digits than its factorization.

57346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10890 (or 10882 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 57346080 is about 7572.7194586885. The cubic root of 57346080 is about 385.6274246893.

The spelling of 57346080 in words is "fifty-seven million, three hundred forty-six thousand, eighty".