57891240 has 192 divisors, whose sum is σ = 212587200. Its totient is φ = 14002560.

The previous prime is 57891227. The next prime is 57891241. The reversal of 57891240 is 4219875.

57891240 = T₂₇₇ + T₂₇₈ + ... + T₇₁₆.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57891195 and 57891204.

It is not an unprimeable number, because it can be changed into a prime (57891241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130459 + ... + 130901.

It is an arithmetic number, because the mean of its divisors is an integer number (1107225).

Almost surely, 2^57891240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57891240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106293600).

57891240 is an abundant number, since it is smaller than the sum of its proper divisors (154695960).

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

57891240 is a wasteful number, since it uses less digits than its factorization.

57891240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 57891240 is about 7608.6293115120. The cubic root of 57891240 is about 386.8455606346.

The spelling of 57891240 in words is "fifty-seven million, eight hundred ninety-one thousand, two hundred forty".