88400640 has 72 divisors (see below), whose sum is σ = 282341808. Its totient is φ = 23572480.

The previous prime is 88400621. The next prime is 88400687. The reversal of 88400640 is 4600488.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 88400598 and 88400607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7671 + ... + 15350.

It is an arithmetic number, because the mean of its divisors is an integer number (3921414).

Almost surely, 2^88400640 is an apocalyptic number.

88400640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88400640 is an abundant number, since it is smaller than the sum of its proper divisors (193941168).

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

88400640 is a wasteful number, since it uses less digits than its factorization.

88400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23045 (or 23031 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 88400640 is about 9402.1614536233. The cubic root of 88400640 is about 445.4700079698.

The spelling of 88400640 in words is "eighty-eight million, four hundred thousand, six hundred forty".