86029920 has 72 divisors (see below), whose sum is σ = 293582016. Its totient is φ = 22940928.

The previous prime is 86029907. The next prime is 86029939. The reversal of 86029920 is 2992068.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×86029920² = 14802294270412800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28432 + ... + 31311.

It is an arithmetic number, because the mean of its divisors is an integer number (4077528).

Almost surely, 2^86029920 is an apocalyptic number.

86029920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86029920 is an abundant number, since it is smaller than the sum of its proper divisors (207552096).

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

86029920 is a wasteful number, since it uses less digits than its factorization.

86029920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59764 (or 59753 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 86029920 is about 9275.2315334982. The cubic root of 86029920 is about 441.4516790798.

The spelling of 86029920 in words is "eighty-six million, twenty-nine thousand, nine hundred twenty".