86797920 has 192 divisors, whose sum is σ = 316141056. Its totient is φ = 19783680.

The previous prime is 86797913. The next prime is 86797933. The reversal of 86797920 is 2979768.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86797920.

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, 89277 + ... + 90243.

It is an arithmetic number, because the mean of its divisors is an integer number (1646568).

Almost surely, 2^86797920 is an apocalyptic number.

86797920 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 86797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158070528).

86797920 is an abundant number, since it is smaller than the sum of its proper divisors (229343136).

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

86797920 is a wasteful number, since it uses less digits than its factorization.

86797920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 86797920 is about 9316.5401303274. The cubic root of 86797920 is about 442.7614210638.

The spelling of 86797920 in words is "eighty-six million, seven hundred ninety-seven thousand, nine hundred twenty".