86629920 has 96 divisors (see below), whose sum is σ = 293896512. Its totient is φ = 21322752.

The previous prime is 86629919. The next prime is 86629927. The reversal of 86629920 is 2992668.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (86629927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702 + ... + 13181.

It is an arithmetic number, because the mean of its divisors is an integer number (3061422).

Almost surely, 2^86629920 is an apocalyptic number.

86629920 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 86629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146948256).

86629920 is an abundant number, since it is smaller than the sum of its proper divisors (207266592).

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

86629920 is a wasteful number, since it uses less digits than its factorization.

86629920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13914 (or 13906 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 86629920 is about 9307.5195406725. The cubic root of 86629920 is about 442.4755771895.

The spelling of 86629920 in words is "eighty-six million, six hundred twenty-nine thousand, nine hundred twenty".