16364040 has 288 divisors, whose sum is σ = 65499840. Its totient is φ = 3252480.

The previous prime is 16364039. The next prime is 16364041. The reversal of 16364040 is 4046361.

It is an interprime number because it is at equal distance from previous prime (16364039) and next prime (16364041).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16364040.

It is not an unprimeable number, because it can be changed into a prime (16364041) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 711469 + ... + 711491.

It is an arithmetic number, because the mean of its divisors is an integer number (227430).

Almost surely, 2^16364040 is an apocalyptic number.

16364040 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 16364040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32749920).

16364040 is an abundant number, since it is smaller than the sum of its proper divisors (49135800).

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

16364040 is a wasteful number, since it uses less digits than its factorization.

16364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 16364040 is about 4045.2490652616. The cubic root of 16364040 is about 253.8809866730.

The spelling of 16364040 in words is "sixteen million, three hundred sixty-four thousand, forty".