16956940 has 144 divisors (see below), whose sum is σ = 49067424. Its totient is φ = 4878720.

The previous prime is 16956937. The next prime is 16956943. The reversal of 16956940 is 4965961.

It is an interprime number because it is at equal distance from previous prime (16956937) and next prime (16956943).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 16956893 and 16956902.

It is not an unprimeable number, because it can be changed into a prime (16956943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1304374 + ... + 1304386.

It is an arithmetic number, because the mean of its divisors is an integer number (340746).

Almost surely, 2^16956940 is an apocalyptic number.

16956940 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 16956940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24533712).

16956940 is an abundant number, since it is smaller than the sum of its proper divisors (32110484).

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

16956940 is a wasteful number, since it uses less digits than its factorization.

16956940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 16956940 is about 4117.8805227932. The cubic root of 16956940 is about 256.9108786757.

The spelling of 16956940 in words is "sixteen million, nine hundred fifty-six thousand, nine hundred forty".