57961400 has 96 divisors (see below), whose sum is σ = 162192000. Its totient is φ = 18817920.

The previous prime is 57961391. The next prime is 57961427. The reversal of 57961400 is 416975.

It is a happy number.

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, 25511 + ... + 27689.

It is an arithmetic number, because the mean of its divisors is an integer number (1689500).

Almost surely, 2^57961400 is an apocalyptic number.

57961400 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 57961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81096000).

57961400 is an abundant number, since it is smaller than the sum of its proper divisors (104230600).

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

57961400 is a wasteful number, since it uses less digits than its factorization.

57961400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 57961400 is about 7613.2384699285. The cubic root of 57961400 is about 387.0017738347.

The spelling of 57961400 in words is "fifty-seven million, nine hundred sixty-one thousand, four hundred".