57057000 has 512 divisors, whose sum is σ = 251596800. Its totient is φ = 10368000.

The previous prime is 57056983. The next prime is 57057041. The reversal of 57057000 is 75075.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3002991 + ... + 3003009.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^57057000 is an apocalyptic number.

57057000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

57057000 is an abundant number, since it is smaller than the sum of its proper divisors (194539800).

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

57057000 is a wasteful number, since it uses less digits than its factorization.

57057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 57057000 is about 7553.6084092307. The cubic root of 57057000 is about 384.9783537613.

It can be divided in two parts, 570 and 57000, that multiplied together give a square (32490000 = 5700²).

The spelling of 57057000 in words is "fifty-seven million, fifty-seven thousand".