88904160 has 144 divisors (see below), whose sum is σ = 306751536. Its totient is φ = 23445504.

The previous prime is 88904143. The next prime is 88904183. The reversal of 88904160 is 6140988.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153792 + ... + 154368.

It is an arithmetic number, because the mean of its divisors is an integer number (2130219).

Almost surely, 2^88904160 is an apocalyptic number.

88904160 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 88904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153375768).

88904160 is an abundant number, since it is smaller than the sum of its proper divisors (217847376).

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

88904160 is a wasteful number, since it uses less digits than its factorization.

88904160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 88904160 is about 9428.9002540063. The cubic root of 88904160 is about 446.3141893871.

The spelling of 88904160 in words is "eighty-eight million, nine hundred four thousand, one hundred sixty".