10977280 has 64 divisors (see below), whose sum is σ = 26738280. Its totient is φ = 4325376.

The previous prime is 10977259. The next prime is 10977289. The reversal of 10977280 is 8277901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10977289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163807 + ... + 163873.

Almost surely, 2^10977280 is an apocalyptic number.

10977280 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 10977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13369140).

10977280 is an abundant number, since it is smaller than the sum of its proper divisors (15761000).

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

10977280 is an frugal number, since it uses more digits than its factorization.

10977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 10977280 is about 3313.1978510195. The cubic root of 10977280 is about 222.2447858570.

The spelling of 10977280 in words is "ten million, nine hundred seventy-seven thousand, two hundred eighty".