57046080 has 224 divisors, whose sum is σ = 223259904. Its totient is φ = 12017664.

The previous prime is 57046043. The next prime is 57046111. The reversal of 57046080 is 8064075.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 87034 + ... + 87686.

It is an arithmetic number, because the mean of its divisors is an integer number (996696).

Almost surely, 2^57046080 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 57046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111629952).

57046080 is an abundant number, since it is smaller than the sum of its proper divisors (166213824).

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

57046080 is a wasteful number, since it uses less digits than its factorization.

57046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 57046080 is about 7552.8855413014. The cubic root of 57046080 is about 384.9537921718.

The spelling of 57046080 in words is "fifty-seven million, forty-six thousand, eighty".