16957920 has 192 divisors, whose sum is σ = 62899200. Its totient is φ = 3838464.

The previous prime is 16957909. The next prime is 16957921. The reversal of 16957920 is 2975961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16957921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164589 + ... + 164691.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 2^16957920 is an apocalyptic number.

16957920 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 16957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

16957920 is an abundant number, since it is smaller than the sum of its proper divisors (45941280).

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

16957920 is a wasteful number, since it uses less digits than its factorization.

16957920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 16957920 is about 4117.9995143273. Note that the first 3 decimals coincide. The cubic root of 16957920 is about 256.9158278354.

The spelling of 16957920 in words is "sixteen million, nine hundred fifty-seven thousand, nine hundred twenty".