88627056 has 80 divisors (see below), whose sum is σ = 263221248. Its totient is φ = 25171200.

The previous prime is 88627051. The next prime is 88627061. The reversal of 88627056 is 65072688.

It is an interprime number because it is at equal distance from previous prime (88627051) and next prime (88627061).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 88626999 and 88627017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88627051) 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, 63486 + ... + 64866.

Almost surely, 2^88627056 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 88627056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131610624).

88627056 is an abundant number, since it is smaller than the sum of its proper divisors (174594192).

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

88627056 is a wasteful number, since it uses less digits than its factorization.

88627056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

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

The square root of 88627056 is about 9414.1943893251. The cubic root of 88627056 is about 445.8500035187.

The spelling of 88627056 in words is "eighty-eight million, six hundred twenty-seven thousand, fifty-six".