88504416 has 288 divisors, whose sum is σ = 339026688. Its totient is φ = 21150720.

The previous prime is 88504369. The next prime is 88504441. The reversal of 88504416 is 61440588.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 288135 + ... + 288441.

It is an arithmetic number, because the mean of its divisors is an integer number (1177176).

Almost surely, 2^88504416 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 88504416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169513344).

88504416 is an abundant number, since it is smaller than the sum of its proper divisors (250522272).

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

88504416 is a wasteful number, since it uses less digits than its factorization.

88504416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 88504416 is about 9407.6785659375. The cubic root of 88504416 is about 445.6442563970.

The spelling of 88504416 in words is "eighty-eight million, five hundred four thousand, four hundred sixteen".