57116000 has 96 divisors (see below), whose sum is σ = 142702560. Its totient is φ = 22464000.

The previous prime is 57115999. The next prime is 57116009. The reversal of 57116000 is 61175.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57116009) 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, 435935 + ... + 436065.

It is an arithmetic number, because the mean of its divisors is an integer number (1486485).

Almost surely, 2^57116000 is an apocalyptic number.

57116000 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 57116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71351280).

57116000 is an abundant number, since it is smaller than the sum of its proper divisors (85586560).

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

57116000 is a wasteful number, since it uses less digits than its factorization.

57116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 57116000 is about 7557.5128183815. The cubic root of 57116000 is about 385.1110041419. Note that the first 3 decimals are identical.

Adding to 57116000 its reverse (61175), we get a palindrome (57177175).

It can be divided in two parts, 5711 and 6000, that added together give a palindrome (11711).

The spelling of 57116000 in words is "fifty-seven million, one hundred sixteen thousand".