88301664 has 240 divisors, whose sum is σ = 300041280. Its totient is φ = 25194240.

The previous prime is 88301639. The next prime is 88301693. The reversal of 88301664 is 46610388.

It is a happy number.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 541647 + ... + 541809.

It is an arithmetic number, because the mean of its divisors is an integer number (1250172).

Almost surely, 2^88301664 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 88301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150020640).

88301664 is an abundant number, since it is smaller than the sum of its proper divisors (211739616).

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

88301664 is a wasteful number, since it uses less digits than its factorization.

88301664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 88301664 is about 9396.8965089544. The cubic root of 88301664 is about 445.3036920363.

The spelling of 88301664 in words is "eighty-eight million, three hundred one thousand, six hundred sixty-four".