86724560 has 40 divisors (see below), whose sum is σ = 217147560. Its totient is φ = 32020992.

The previous prime is 86724523. The next prime is 86724563. The reversal of 86724560 is 6542768.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1420864 + 85303696 = 1192^2 + 9236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×86724560² = 15042298614387200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86724563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40655 + ... + 42734.

It is an arithmetic number, because the mean of its divisors is an integer number (5428689).

Almost surely, 2^86724560 is an apocalyptic number.

86724560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86724560 is an abundant number, since it is smaller than the sum of its proper divisors (130423000).

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

86724560 is a wasteful number, since it uses less digits than its factorization.

86724560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83415 (or 83409 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 86724560 is about 9312.6022142041. The cubic root of 86724560 is about 442.6366479781.

It can be divided in two parts, 86724 and 560, that multiplied together give a triangular number (48565440 = T₉₈₅₅).

The spelling of 86724560 in words is "eighty-six million, seven hundred twenty-four thousand, five hundred sixty".