16957890 has 64 divisors (see below), whose sum is σ = 45601920. Its totient is φ = 4484160.

The previous prime is 16957883. The next prime is 16957909. The reversal of 16957890 is 9875961.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48697 + ... + 49043.

It is an arithmetic number, because the mean of its divisors is an integer number (712530).

Almost surely, 2^16957890 is an apocalyptic number.

16957890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16957890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22800960).

16957890 is an abundant number, since it is smaller than the sum of its proper divisors (28644030).

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

16957890 is a wasteful number, since it uses less digits than its factorization.

16957890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 16957890 is about 4117.9958717803. The cubic root of 16957890 is about 256.9156763333.

The spelling of 16957890 in words is "sixteen million, nine hundred fifty-seven thousand, eight hundred ninety".