88345700 has 72 divisors (see below), whose sum is σ = 198737280. Its totient is φ = 34070400.

The previous prime is 88345669. The next prime is 88345711. The reversal of 88345700 is 754388.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418595 + ... + 418805.

It is an arithmetic number, because the mean of its divisors is an integer number (2760240).

Almost surely, 2^88345700 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 88345700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99368640).

88345700 is an abundant number, since it is smaller than the sum of its proper divisors (110391580).

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

88345700 is a wasteful number, since it uses less digits than its factorization.

88345700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 88345700 is about 9399.2393309246. The cubic root of 88345700 is about 445.3777039845.

The spelling of 88345700 in words is "eighty-eight million, three hundred forty-five thousand, seven hundred".