57098880 has 192 divisors, whose sum is σ = 206219520. Its totient is φ = 14530560.

The previous prime is 57098879. The next prime is 57098891. The reversal of 57098880 is 8889075.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132265 + ... + 132695.

It is an arithmetic number, because the mean of its divisors is an integer number (1074060).

Almost surely, 2^57098880 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 57098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103109760).

57098880 is an abundant number, since it is smaller than the sum of its proper divisors (149120640).

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

57098880 is a wasteful number, since it uses less digits than its factorization.

57098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 57098880 is about 7556.3800857289. The cubic root of 57098880 is about 385.0725224600.

The spelling of 57098880 in words is "fifty-seven million, ninety-eight thousand, eight hundred eighty".