16390944 has 96 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 5356800.

The previous prime is 16390937. The next prime is 16390951. The reversal of 16390944 is 44909361.

It is an interprime number because it is at equal distance from previous prime (16390937) and next prime (16390951).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×16390944² = 537326090422272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16390899 and 16390908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52549 + ... + 52859.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^16390944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16390944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

16390944 is an abundant number, since it is smaller than the sum of its proper divisors (32355936).

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

16390944 is a wasteful number, since it uses less digits than its factorization.

16390944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 16390944 is about 4048.5730819636. The cubic root of 16390944 is about 254.0200451248.

The spelling of 16390944 in words is "sixteen million, three hundred ninety thousand, nine hundred forty-four".