88208064 has 168 divisors, whose sum is σ = 292900608. Its totient is φ = 24860160.

The previous prime is 88208063. The next prime is 88208069. The reversal of 88208064 is 46080288.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (88208063) by changing a digit.

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, 528109 + ... + 528275.

It is an arithmetic number, because the mean of its divisors is an integer number (1743456).

Almost surely, 2^88208064 is an apocalyptic number.

88208064 is a gapful number since it is divisible by the number (84) 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 88208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146450304).

88208064 is an abundant number, since it is smaller than the sum of its proper divisors (204692544).

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

88208064 is a wasteful number, since it uses less digits than its factorization.

88208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

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

The square root of 88208064 is about 9391.9148207381. The cubic root of 88208064 is about 445.1462953747.

The spelling of 88208064 in words is "eighty-eight million, two hundred eight thousand, sixty-four".