10267680 has 48 divisors (see below), whose sum is σ = 32344704. Its totient is φ = 2737920.

The previous prime is 10267633. The next prime is 10267687. The reversal of 10267680 is 8676201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (10267687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10216 + ... + 11175.

It is an arithmetic number, because the mean of its divisors is an integer number (673848).

Almost surely, 2^10267680 is an apocalyptic number.

10267680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10267680 is an abundant number, since it is smaller than the sum of its proper divisors (22077024).

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

10267680 is a wasteful number, since it uses less digits than its factorization.

10267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21409 (or 21401 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 10267680 is about 3204.3220811897. The cubic root of 10267680 is about 217.3488975601.

The spelling of 10267680 in words is "ten million, two hundred sixty-seven thousand, six hundred eighty".