16314040 has 64 divisors (see below), whose sum is σ = 38468160. Its totient is φ = 6220800.

The previous prime is 16314019. The next prime is 16314047. The reversal of 16314040 is 4041361.

It is a happy number.

It is a super-2 number, since 2×16314040² = 532295802243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16313999 and 16314017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16314047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107965 + ... + 108115.

It is an arithmetic number, because the mean of its divisors is an integer number (601065).

Almost surely, 2^16314040 is an apocalyptic number.

16314040 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 16314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234080).

16314040 is an abundant number, since it is smaller than the sum of its proper divisors (22154120).

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

16314040 is a wasteful number, since it uses less digits than its factorization.

16314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 16314040 is about 4039.0642480654. The cubic root of 16314040 is about 253.6221467588.

It can be divided in two parts, 1631 and 4040, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 16314040 in words is "sixteen million, three hundred fourteen thousand, forty".