16905952 has 48 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 7136640.

The previous prime is 16905913. The next prime is 16905961. The reversal of 16905952 is 25950961.

16905952 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×16905952² = 571622426052608, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 15373 + ... + 16435.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 2^16905952 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 16905952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

16905952 is an abundant number, since it is smaller than the sum of its proper divisors (21704480).

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

16905952 is a wasteful number, since it uses less digits than its factorization.

16905952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 37.

The square root of 16905952 is about 4111.6848128231. The cubic root of 16905952 is about 256.6531174797.

The spelling of 16905952 in words is "sixteen million, nine hundred five thousand, nine hundred fifty-two".