14977116 has 96 divisors (see below), whose sum is σ = 48437760. Its totient is φ = 3888000.

The previous prime is 14977103. The next prime is 14977139. The reversal of 14977116 is 61177941.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7416 + ... + 9216.

It is an arithmetic number, because the mean of its divisors is an integer number (504560).

Almost surely, 2^14977116 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 14977116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24218880).

14977116 is an abundant number, since it is smaller than the sum of its proper divisors (33460644).

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

14977116 is a wasteful number, since it uses less digits than its factorization.

14977116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1824 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 14977116 is about 3870.0279068761. The cubic root of 14977116 is about 246.4957284965.

The spelling of 14977116 in words is "fourteen million, nine hundred seventy-seven thousand, one hundred sixteen".