86287400 has 48 divisors (see below), whose sum is σ = 201398940. Its totient is φ = 34380800.

The previous prime is 86287391. The next prime is 86287423. The reversal of 86287400 is 478268.

It can be written as a sum of positive squares in 6 ways, for example, as 3076516 + 83210884 = 1754^2 + 9122^2 .

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, 62720 + ... + 64080.

Almost surely, 2^86287400 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 86287400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100699470).

86287400 is an abundant number, since it is smaller than the sum of its proper divisors (115111540).

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

86287400 is a wasteful number, since it uses less digits than its factorization.

86287400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 86287400 is about 9289.1011405841. The cubic root of 86287400 is about 441.8916491509.

The spelling of 86287400 in words is "eighty-six million, two hundred eighty-seven thousand, four hundred".