10977920 has 64 divisors (see below), whose sum is σ = 27815400. Its totient is φ = 4128768.

The previous prime is 10977907. The next prime is 10977961. The reversal of 10977920 is 2977901.

It can be written as a sum of positive squares in 4 ways, for example, as 9193024 + 1784896 = 3032^2 + 1336^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10376 + ... + 11384.

Almost surely, 2^10977920 is an apocalyptic number.

10977920 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 10977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13907700).

10977920 is an abundant number, since it is smaller than the sum of its proper divisors (16837480).

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

10977920 is a wasteful number, since it uses less digits than its factorization.

10977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 35.

The square root of 10977920 is about 3313.2944330379. The cubic root of 10977920 is about 222.2491048960.

The spelling of 10977920 in words is "ten million, nine hundred seventy-seven thousand, nine hundred twenty".