57123760 has 80 divisors (see below), whose sum is σ = 137401920. Its totient is φ = 22077440.

The previous prime is 57123751. The next prime is 57123761. The reversal of 57123760 is 6732175.

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

It is not an unprimeable number, because it can be changed into a prime (57123761) 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, 505464 + ... + 505576.

It is an arithmetic number, because the mean of its divisors is an integer number (1717524).

Almost surely, 2^57123760 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 57123760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68700960).

57123760 is an abundant number, since it is smaller than the sum of its proper divisors (80278160).

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

57123760 is a wasteful number, since it uses less digits than its factorization.

57123760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 57123760 is about 7558.0261973613. The cubic root of 57123760 is about 385.1284442408.

The spelling of 57123760 in words is "fifty-seven million, one hundred twenty-three thousand, seven hundred sixty".