16387920 has 140 divisors (see below), whose sum is σ = 57330036. Its totient is φ = 4354560.

The previous prime is 16387919. The next prime is 16387951. The reversal of 16387920 is 2978361.

16387920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8503056 + 7884864 = 2916^2 + 2808^2 .

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58180 + ... + 58460.

Almost surely, 2^16387920 is an apocalyptic number.

16387920 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 16387920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28665018).

16387920 is an abundant number, since it is smaller than the sum of its proper divisors (40942116).

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

16387920 is an equidigital number, since it uses as much as digits as its factorization.

16387920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 16387920 is about 4048.1995998221. The cubic root of 16387920 is about 254.0044225985.

The spelling of 16387920 in words is "sixteen million, three hundred eighty-seven thousand, nine hundred twenty".