88115040 has 240 divisors, whose sum is σ = 335533968. Its totient is φ = 21648384.

The previous prime is 88115039. The next prime is 88115059. The reversal of 88115040 is 4051188.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 88114995 and 88115013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168219 + ... + 168741.

Almost surely, 2^88115040 is an apocalyptic number.

88115040 is a gapful number since it is divisible by the number (80) 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 88115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167766984).

88115040 is an abundant number, since it is smaller than the sum of its proper divisors (247418928).

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

88115040 is a wasteful number, since it uses less digits than its factorization.

88115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 88115040 is about 9386.9611696225. The cubic root of 88115040 is about 444.9897569498.

The spelling of 88115040 in words is "eighty-eight million, one hundred fifteen thousand, forty".