10089640 has 64 divisors (see below), whose sum is σ = 25868160. Its totient is φ = 3505920.

The previous prime is 10089637. The next prime is 10089659. The reversal of 10089640 is 4698001.

10089640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10089599 and 10089608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9622 + ... + 10618.

It is an arithmetic number, because the mean of its divisors is an integer number (404190).

Almost surely, 2^10089640 is an apocalyptic number.

10089640 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 10089640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12934080).

10089640 is an abundant number, since it is smaller than the sum of its proper divisors (15778520).

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

10089640 is a wasteful number, since it uses less digits than its factorization.

10089640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 10089640 is about 3176.4193677788. The cubic root of 10089640 is about 216.0853001005.

It can be divided in two parts, 1008 and 9640, that added together give a cube (10648 = 22³).

The spelling of 10089640 in words is "ten million, eighty-nine thousand, six hundred forty".