88800144 has 40 divisors (see below), whose sum is σ = 229738272. Its totient is φ = 29556480.

The previous prime is 88800143. The next prime is 88800149. The reversal of 88800144 is 44100888.

It is not an unprimeable number, because it can be changed into a prime (88800143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61252 + ... + 62684.

Almost surely, 2^88800144 is an apocalyptic number.

It is an amenable number.

88800144 is an abundant number, since it is smaller than the sum of its proper divisors (140938128).

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

88800144 is a wasteful number, since it uses less digits than its factorization.

88800144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 88800144 is about 9423.3828320832. The cubic root of 88800144 is about 446.1400620517.

The spelling of 88800144 in words is "eighty-eight million, eight hundred thousand, one hundred forty-four".