88353900 has 108 divisors (see below), whose sum is σ = 279482112. Its totient is φ = 23345280.

The previous prime is 88353899. The next prime is 88353901. The reversal of 88353900 is 935388.

It is an interprime number because it is at equal distance from previous prime (88353899) and next prime (88353901).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88353901) 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 35 ways as a sum of consecutive naturals, for example, 113914 + ... + 114686.

Almost surely, 2^88353900 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 88353900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139741056).

88353900 is an abundant number, since it is smaller than the sum of its proper divisors (191128212).

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

88353900 is a wasteful number, since it uses less digits than its factorization.

88353900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 88353900 is about 9399.6755263147. The cubic root of 88353900 is about 445.3914831279.

It can be divided in two parts, 88353 and 900, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 88353900 in words is "eighty-eight million, three hundred fifty-three thousand, nine hundred".