86400723600 has 675 divisors, whose sum is σ = 328783248409. Its totient is φ = 21728044800.

The previous prime is 86400723581. The next prime is 86400723637. The reversal of 86400723600 is 632700468.

The square root of 86400723600 is 293940.

It is a perfect power (a square), and thus also a powerful number.

86400723600 is a `hidden beast` number, since 8 + 6 + 40 + 0 + 7 + 2 + 3 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31104260496 + 55296463104 = 176364^2 + 235152^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1216911565 + ... + 1216911635.

Almost surely, 2^86400723600 is an apocalyptic number.

86400723600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86400723600 is the 293940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86400723600

86400723600 is an abundant number, since it is smaller than the sum of its proper divisors (242382524809).

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

86400723600 is a wasteful number, since it uses less digits than its factorization.

86400723600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 104 counting only the distinct ones).

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

Multiplying 86400723600 by its sum of digits (36), we get a square (3110426049600 = 1763640²).

86400723600 divided by its sum of digits (36) gives a square (2400020100 = 48990²).

It can be divided in two parts, 86400 and 723600, that added together give a 4-th power (810000 = 30⁴).

The spelling of 86400723600 in words is "eighty-six billion, four hundred million, seven hundred twenty-three thousand, six hundred".