57645000 has 320 divisors, whose sum is σ = 232425600. Its totient is φ = 12960000.

The previous prime is 57644999. The next prime is 57645013. The reversal of 57645000 is 54675.

It is a super-3 number, since 3×57645000³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 944970 + ... + 945030.

It is an arithmetic number, because the mean of its divisors is an integer number (726330).

Almost surely, 2^57645000 is an apocalyptic number.

57645000 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 57645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116212800).

57645000 is an abundant number, since it is smaller than the sum of its proper divisors (174780600).

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

57645000 is a wasteful number, since it uses less digits than its factorization.

57645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 57645000 is about 7592.4304409063. The cubic root of 57645000 is about 386.2962994739.

Adding to 57645000 its reverse (54675), we get a palindrome (57699675).

The spelling of 57645000 in words is "fifty-seven million, six hundred forty-five thousand".