16516920 has 144 divisors (see below), whose sum is σ = 58748760. Its totient is φ = 3704064.

The previous prime is 16516919. The next prime is 16516931. The reversal of 16516920 is 2961561.

16516920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311614 + ... + 311666.

Almost surely, 2^16516920 is an apocalyptic number.

16516920 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 16516920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29374380).

16516920 is an abundant number, since it is smaller than the sum of its proper divisors (42231840).

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

16516920 is a wasteful number, since it uses less digits than its factorization.

16516920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 16516920 is about 4064.1013766883. The cubic root of 16516920 is about 254.6691595686.

Multiplying 16516920 by its sum of digits (30), we get a square (495507600 = 22260²).

16516920 divided by its sum of digits (30) gives a square (550564 = 742²).

The spelling of 16516920 in words is "sixteen million, five hundred sixteen thousand, nine hundred twenty".