88909920 has 192 divisors, whose sum is σ = 339655680. Its totient is φ = 21542400.

The previous prime is 88909907. The next prime is 88909981. The reversal of 88909920 is 2990988.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46585 + ... + 48455.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^88909920 is an apocalyptic number.

88909920 is a gapful number since it is divisible by the number (80) 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 88909920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

88909920 is an abundant number, since it is smaller than the sum of its proper divisors (250745760).

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

88909920 is a wasteful number, since it uses less digits than its factorization.

88909920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 88909920 is about 9429.2056929521. The cubic root of 88909920 is about 446.3238279095.

The spelling of 88909920 in words is "eighty-eight million, nine hundred nine thousand, nine hundred twenty".