88115760 has 240 divisors, whose sum is σ = 327996864. Its totient is φ = 21086208.

The previous prime is 88115747. The next prime is 88115761. The reversal of 88115760 is 6751188.

88115760 is a `hidden beast` number, since 8 + 81 + 1 + 576 + 0 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88115761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281364 + ... + 281676.

Almost surely, 2^88115760 is an apocalyptic number.

88115760 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 88115760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163998432).

88115760 is an abundant number, since it is smaller than the sum of its proper divisors (239881104).

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

88115760 is a wasteful number, since it uses less digits than its factorization.

88115760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 88115760 is about 9386.9995206136. Note that the first 3 decimals coincide. The cubic root of 88115760 is about 444.9909689704.

It can be divided in two parts, 881 and 15760, that added together give a square (16641 = 129²).

The spelling of 88115760 in words is "eighty-eight million, one hundred fifteen thousand, seven hundred sixty".