86920960 has 144 divisors (see below), whose sum is σ = 242827200. Its totient is φ = 29196288.

The previous prime is 86920957. The next prime is 86920961. The reversal of 86920960 is 6902968.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86920961) 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 15 ways as a sum of consecutive naturals, for example, 797386 + ... + 797494.

It is an arithmetic number, because the mean of its divisors is an integer number (1686300).

Almost surely, 2^86920960 is an apocalyptic number.

86920960 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 86920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121413600).

86920960 is an abundant number, since it is smaller than the sum of its proper divisors (155906240).

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

86920960 is a wasteful number, since it uses less digits than its factorization.

86920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 86920960 is about 9323.1411015816. The cubic root of 86920960 is about 442.9705337711.

The spelling of 86920960 in words is "eighty-six million, nine hundred twenty thousand, nine hundred sixty".