10979680 has 48 divisors (see below), whose sum is σ = 26160624. Its totient is φ = 4354560.

The previous prime is 10979651. The next prime is 10979687. The reversal of 10979680 is 8697901.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10979687) 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, 25870 + ... + 26290.

It is an arithmetic number, because the mean of its divisors is an integer number (545013).

Almost surely, 2^10979680 is an apocalyptic number.

10979680 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 10979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080312).

10979680 is an abundant number, since it is smaller than the sum of its proper divisors (15180944).

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

10979680 is a wasteful number, since it uses less digits than its factorization.

10979680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 10979680 is about 3313.5600190731. The cubic root of 10979680 is about 222.2609813875.

The spelling of 10979680 in words is "ten million, nine hundred seventy-nine thousand, six hundred eighty".