88152840 has 128 divisors (see below), whose sum is σ = 303436800. Its totient is φ = 22740480.

The previous prime is 88152839. The next prime is 88152887. The reversal of 88152840 is 4825188.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88152795 and 88152804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32164 + ... + 34796.

It is an arithmetic number, because the mean of its divisors is an integer number (2370600).

Almost surely, 2^88152840 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 88152840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151718400).

88152840 is an abundant number, since it is smaller than the sum of its proper divisors (215283960).

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

88152840 is a wasteful number, since it uses less digits than its factorization.

88152840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 88152840 is about 9388.9743848836. The cubic root of 88152840 is about 445.0533791121.

The spelling of 88152840 in words is "eighty-eight million, one hundred fifty-two thousand, eight hundred forty".