57348816 has 120 divisors (see below), whose sum is σ = 177265440. Its totient is φ = 15918336.

The previous prime is 57348773. The next prime is 57348833. The reversal of 57348816 is 61884375.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 86695 + ... + 87353.

It is an arithmetic number, because the mean of its divisors is an integer number (1477212).

Almost surely, 2^57348816 is an apocalyptic number.

57348816 is a gapful number since it is divisible by the number (56) 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 57348816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88632720).

57348816 is an abundant number, since it is smaller than the sum of its proper divisors (119916624).

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

57348816 is a wasteful number, since it uses less digits than its factorization.

57348816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 708 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 57348816 is about 7572.9001049796. The cubic root of 57348816 is about 385.6335573947.

The spelling of 57348816 in words is "fifty-seven million, three hundred forty-eight thousand, eight hundred sixteen".