88013760 has 112 divisors (see below), whose sum is σ = 295936416. Its totient is φ = 22085632.

The previous prime is 88013759. The next prime is 88013767. The reversal of 88013760 is 6731088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88013767) 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, 13624 + ... + 19016.

Almost surely, 2^88013760 is an apocalyptic number.

88013760 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 88013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147968208).

88013760 is an abundant number, since it is smaller than the sum of its proper divisors (207922656).

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

88013760 is a wasteful number, since it uses less digits than its factorization.

88013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5430 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 88013760 is about 9381.5649014437. The cubic root of 88013760 is about 444.8192002132.

It can be divided in two parts, 8801 and 3760, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 88013760 in words is "eighty-eight million, thirteen thousand, seven hundred sixty".