88802064 has 180 divisors, whose sum is σ = 278771220. Its totient is φ = 26357760.

The previous prime is 88802047. The next prime is 88802071. The reversal of 88802064 is 46020888.

It can be written as a sum of positive squares in 6 ways, for example, as 49112064 + 39690000 = 7008^2 + 6300^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 997732 + ... + 997820.

It is an arithmetic number, because the mean of its divisors is an integer number (1548729).

Almost surely, 2^88802064 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 88802064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139385610).

88802064 is an abundant number, since it is smaller than the sum of its proper divisors (189969156).

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

88802064 is a wasteful number, since it uses less digits than its factorization.

88802064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 88802064 is about 9423.4847057763. The cubic root of 88802064 is about 446.1432774471.

The spelling of 88802064 in words is "eighty-eight million, eight hundred two thousand, sixty-four".