57623280 has 320 divisors, whose sum is σ = 221985792. Its totient is φ = 12165120.

The previous prime is 57623273. The next prime is 57623287. The reversal of 57623280 is 8232675.

It is a Cunningham number, because it is equal to 7591²-1.

It is an interprime number because it is at equal distance from previous prime (57623273) and next prime (57623287).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57623287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 789324 + ... + 789396.

Almost surely, 2^57623280 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 57623280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110992896).

57623280 is an abundant number, since it is smaller than the sum of its proper divisors (164362512).

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

57623280 is a wasteful number, since it uses less digits than its factorization.

57623280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 57623280 is about 7590.9999341325. Note that the first 4 decimals coincide. The cubic root of 57623280 is about 386.2477759845.

The spelling of 57623280 in words is "fifty-seven million, six hundred twenty-three thousand, two hundred eighty".