16967940 has 96 divisors (see below), whose sum is σ = 53028864. Its totient is φ = 4018560.

The previous prime is 16967933. The next prime is 16967957. The reversal of 16967940 is 4976961.

It is a junction number, because it is equal to n+sod(n) for n = 16967892 and 16967901.

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, 30747 + ... + 31293.

It is an arithmetic number, because the mean of its divisors is an integer number (552384).

Almost surely, 2^16967940 is an apocalyptic number.

16967940 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 16967940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26514432).

16967940 is an abundant number, since it is smaller than the sum of its proper divisors (36060924).

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

16967940 is a wasteful number, since it uses less digits than its factorization.

16967940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 16967940 is about 4119.2159448128. The cubic root of 16967940 is about 256.9664195301.

The spelling of 16967940 in words is "sixteen million, nine hundred sixty-seven thousand, nine hundred forty".