88240512 has 128 divisors (see below), whose sum is σ = 249500160. Its totient is φ = 27574272.

The previous prime is 88240507. The next prime is 88240517. The reversal of 88240512 is 21504288.

It is an interprime number because it is at equal distance from previous prime (88240507) and next prime (88240517).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 88240512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88240517) 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, 856653 + ... + 856755.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2^88240512 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 88240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124750080).

88240512 is an abundant number, since it is smaller than the sum of its proper divisors (161259648).

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

88240512 is a wasteful number, since it uses less digits than its factorization.

88240512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 88240512 is about 9393.6421051688. The cubic root of 88240512 is about 445.2008721544.

The spelling of 88240512 in words is "eighty-eight million, two hundred forty thousand, five hundred twelve".