57066000 has 80 divisors (see below), whose sum is σ = 184000128. Its totient is φ = 15216000.

The previous prime is 57065993. The next prime is 57066007. The reversal of 57066000 is 66075.

It is an interprime number because it is at equal distance from previous prime (57065993) and next prime (57066007).

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

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

It is not an unprimeable number, because it can be changed into a prime (57066007) 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, 1245 + ... + 10755.

Almost surely, 2^57066000 is an apocalyptic number.

57066000 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 57066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92000064).

57066000 is an abundant number, since it is smaller than the sum of its proper divisors (126934128).

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

57066000 is a wasteful number, since it uses less digits than its factorization.

57066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537 (or 9521 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 57066000 is about 7554.2041275041. The cubic root of 57066000 is about 384.9985944740.

The spelling of 57066000 in words is "fifty-seven million, sixty-six thousand".