57340416 has 80 divisors (see below), whose sum is σ = 174613824. Its totient is φ = 16379904.

The previous prime is 57340411. The next prime is 57340433. The reversal of 57340416 is 61404375.

It is a super-3 number, since 3×57340416³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57340411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8086 + ... + 13418.

Almost surely, 2^57340416 is an apocalyptic number.

57340416 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 57340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87306912).

57340416 is an abundant number, since it is smaller than the sum of its proper divisors (117273408).

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

57340416 is an equidigital number, since it uses as much as digits as its factorization.

57340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 57340416 is about 7572.3454754785. The cubic root of 57340416 is about 385.6147282931.

The spelling of 57340416 in words is "fifty-seven million, three hundred forty thousand, four hundred sixteen".