16977792 has 128 divisors (see below), whose sum is σ = 51408000. Its totient is φ = 4921344.

The previous prime is 16977791. The next prime is 16977809. The reversal of 16977792 is 29777961.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16977791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94759 + ... + 94937.

It is an arithmetic number, because the mean of its divisors is an integer number (401625).

Almost surely, 2^16977792 is an apocalyptic number.

16977792 is a gapful number since it is divisible by the number (12) 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 16977792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704000).

16977792 is an abundant number, since it is smaller than the sum of its proper divisors (34430208).

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

16977792 is a wasteful number, since it uses less digits than its factorization.

16977792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its digits is 333396, while the sum is 48.

The square root of 16977792 is about 4120.4116299224. The cubic root of 16977792 is about 257.0161435654.

The spelling of 16977792 in words is "sixteen million, nine hundred seventy-seven thousand, seven hundred ninety-two".