10089360 has 140 divisors (see below), whose sum is σ = 35373852. Its totient is φ = 2674944.

The previous prime is 10089337. The next prime is 10089377. The reversal of 10089360 is 6398001.

10089360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 3370896 = 2592^2 + 1836^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58234 + ... + 58406.

Almost surely, 2^10089360 is an apocalyptic number.

10089360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10089360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686926).

10089360 is an abundant number, since it is smaller than the sum of its proper divisors (25284492).

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

10089360 is an equidigital number, since it uses as much as digits as its factorization.

10089360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10089360 is about 3176.3752926882. The cubic root of 10089360 is about 216.0833012038.

10089360 divided by its sum of digits (27) gives a triangular number (373680 = T₈₆₄).

The spelling of 10089360 in words is "ten million, eighty-nine thousand, three hundred sixty".