88149160 has 64 divisors (see below), whose sum is σ = 218894400. Its totient is φ = 31680000.

The previous prime is 88149143. The next prime is 88149161. The reversal of 88149160 is 6194188.

88149160 = 219³ + 220³ + ... + 226³.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (88149161) 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, 38035 + ... + 40285.

It is an arithmetic number, because the mean of its divisors is an integer number (3420225).

Almost surely, 2^88149160 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 88149160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109447200).

88149160 is an abundant number, since it is smaller than the sum of its proper divisors (130745240).

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

88149160 is a wasteful number, since it uses less digits than its factorization.

88149160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 88149160 is about 9388.7784082915. The cubic root of 88149160 is about 445.0471860076.

The spelling of 88149160 in words is "eighty-eight million, one hundred forty-nine thousand, one hundred sixty".