16946820 has 144 divisors (see below), whose sum is σ = 58339008. Its totient is φ = 4095360.

The previous prime is 16946819. The next prime is 16946861. The reversal of 16946820 is 2864961.

It is a super-2 number, since 2×16946820² = 574389416224800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53302 + ... + 53618.

It is an arithmetic number, because the mean of its divisors is an integer number (405132).

Almost surely, 2^16946820 is an apocalyptic number.

16946820 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 16946820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29169504).

16946820 is an abundant number, since it is smaller than the sum of its proper divisors (41392188).

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

16946820 is a wasteful number, since it uses less digits than its factorization.

16946820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16946820 is about 4116.6515519291. The cubic root of 16946820 is about 256.8597598716.

It can be divided in two parts, 16946 and 820, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 16946820 in words is "sixteen million, nine hundred forty-six thousand, eight hundred twenty".