6087120400 has 135 divisors (see below), whose sum is σ = 15124276621. Its totient is φ = 2354331520.

The previous prime is 6087120371. The next prime is 6087120439. The reversal of 6087120400 is 40217806.

The square root of 6087120400 is 78020.

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

It can be written as a sum of positive squares in only one way, i.e., 2191363344 + 3895757056 = 46812^2 + 62416^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73338759 + ... + 73338841.

Almost surely, 2^6087120400 is an apocalyptic number.

6087120400 is the 78020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6087120400

6087120400 is an abundant number, since it is smaller than the sum of its proper divisors (9037156221).

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

6087120400 is an equidigital number, since it uses as much as digits as its factorization.

6087120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The cubic root of 6087120400 is about 1825.8732694416.

The spelling of 6087120400 in words is "six billion, eighty-seven million, one hundred twenty thousand, four hundred".