88760160 has 144 divisors (see below), whose sum is σ = 308874384. Its totient is φ = 23202816.

The previous prime is 88760159. The next prime is 88760209. The reversal of 88760160 is 6106788.

88760160 = 359² + 360² + ... + 678².

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75739 + ... + 76901.

It is an arithmetic number, because the mean of its divisors is an integer number (2144961).

Almost surely, 2^88760160 is an apocalyptic number.

88760160 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 88760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154437192).

88760160 is an abundant number, since it is smaller than the sum of its proper divisors (220114224).

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

88760160 is a wasteful number, since it uses less digits than its factorization.

88760160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 88760160 is about 9421.2610620872. The cubic root of 88760160 is about 446.0730909054.

The spelling of 88760160 in words is "eighty-eight million, seven hundred sixty thousand, one hundred sixty".