86724300 has 144 divisors (see below), whose sum is σ = 277989152. Its totient is φ = 20736000.

The previous prime is 86724289. The next prime is 86724301. The reversal of 86724300 is 342768.

It is a super-2 number, since 2×86724300² = 15042208420980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (86724301) 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, 144000 + ... + 144600.

Almost surely, 2^86724300 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 86724300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138994576).

86724300 is an abundant number, since it is smaller than the sum of its proper divisors (191264852).

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

86724300 is a wasteful number, since it uses less digits than its factorization.

86724300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 86724300 is about 9312.5882546154. The cubic root of 86724300 is about 442.6362056365.

86724300 divided by its sum of digits (30) gives a triangular number (2890810 = T₂₄₀₄).

It can be divided in two parts, 867 and 24300, that multiplied together give a square (21068100 = 4590²).

The spelling of 86724300 in words is "eighty-six million, seven hundred twenty-four thousand, three hundred".