10375680 has 160 divisors (see below), whose sum is σ = 38104704. Its totient is φ = 2359296.

The previous prime is 10375667. The next prime is 10375711. The reversal of 10375680 is 8657301.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 53664 + ... + 53856.

Almost surely, 2^10375680 is an apocalyptic number.

10375680 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 10375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19052352).

10375680 is an abundant number, since it is smaller than the sum of its proper divisors (27729024).

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

10375680 is an equidigital number, since it uses as much as digits as its factorization.

10375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10375680 is about 3221.1302364232. The cubic root of 10375680 is about 218.1082984615.

The spelling of 10375680 in words is "ten million, three hundred seventy-five thousand, six hundred eighty".