16077920 has 96 divisors (see below), whose sum is σ = 42130368. Its totient is φ = 5767168.

The previous prime is 16077907. The next prime is 16077931. The reversal of 16077920 is 2977061.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 62432 + ... + 62688.

It is an arithmetic number, because the mean of its divisors is an integer number (438858).

Almost surely, 2^16077920 is an apocalyptic number.

16077920 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 16077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21065184).

16077920 is an abundant number, since it is smaller than the sum of its proper divisors (26052448).

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

16077920 is a wasteful number, since it uses less digits than its factorization.

16077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 16077920 is about 4009.7281703377. The cubic root of 16077920 is about 252.3926021057.

The spelling of 16077920 in words is "sixteen million, seventy-seven thousand, nine hundred twenty".