57046000 has 80 divisors (see below), whose sum is σ = 150535008. Its totient is φ = 20736000.

The previous prime is 57045997. The next prime is 57046001. The reversal of 57046000 is 64075.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×57046000² = 6508492232000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57046001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20704 + ... + 23296.

Almost surely, 2^57046000 is an apocalyptic number.

57046000 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 57046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75267504).

57046000 is an abundant number, since it is smaller than the sum of its proper divisors (93489008).

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

57046000 is a wasteful number, since it uses less digits than its factorization.

57046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 57046000 is about 7552.8802453104. The cubic root of 57046000 is about 384.9536122218.

The spelling of 57046000 in words is "fifty-seven million, forty-six thousand".