88725648 has 80 divisors (see below), whose sum is σ = 251608896. Its totient is φ = 26718720.

The previous prime is 88725619. The next prime is 88725683. The reversal of 88725648 is 84652788.

It is a super-2 number, since 2×88725648² = 15744481226039808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 88725597 and 88725606.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 103590 + ... + 104442.

Almost surely, 2^88725648 is an apocalyptic number.

88725648 is a gapful number since it is divisible by the number (88) 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 88725648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125804448).

88725648 is an abundant number, since it is smaller than the sum of its proper divisors (162883248).

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

88725648 is a wasteful number, since it uses less digits than its factorization.

88725648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 88725648 is about 9419.4292820744. The cubic root of 88725648 is about 446.0152689042.

The spelling of 88725648 in words is "eighty-eight million, seven hundred twenty-five thousand, six hundred forty-eight".