86724360 has 192 divisors, whose sum is σ = 307008000. Its totient is φ = 21150720.

The previous prime is 86724349. The next prime is 86724367. The reversal of 86724360 is 6342768.

It is a super-2 number, since 2×86724360² = 15042229234819200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (86724367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211836 + ... + 212244.

It is an arithmetic number, because the mean of its divisors is an integer number (1599000).

Almost surely, 2^86724360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86724360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153504000).

86724360 is an abundant number, since it is smaller than the sum of its proper divisors (220283640).

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

86724360 is a wasteful number, since it uses less digits than its factorization.

86724360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 86724360 is about 9312.5914760608. The cubic root of 86724360 is about 442.6363077154.

The spelling of 86724360 in words is "eighty-six million, seven hundred twenty-four thousand, three hundred sixty".