10977516 has 72 divisors (see below), whose sum is σ = 31886400. Its totient is φ = 3149280.

The previous prime is 10977511. The next prime is 10977517. The reversal of 10977516 is 61577901.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (10977511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6795 + ... + 8253.

Almost surely, 2^10977516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10977516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15943200).

10977516 is an abundant number, since it is smaller than the sum of its proper divisors (20908884).

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

10977516 is a wasteful number, since it uses less digits than its factorization.

10977516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 10977516 is about 3313.2334659664. The cubic root of 10977516 is about 222.2463785222.

The spelling of 10977516 in words is "ten million, nine hundred seventy-seven thousand, five hundred sixteen".