264890040 has 96 divisors (see below), whose sum is σ = 821489040. Its totient is φ = 68328960.

The previous prime is 264890029. The next prime is 264890047. The reversal of 264890040 is 40098462.

It is a junction number, because it is equal to n+sod(n) for n = 264889983 and 264890010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264890047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114172 + ... + 116468.

Almost surely, 2^264890040 is an apocalyptic number.

264890040 is a gapful number since it is divisible by the number (20) 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 264890040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410744520).

264890040 is an abundant number, since it is smaller than the sum of its proper divisors (556599000).

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

264890040 is a wasteful number, since it uses less digits than its factorization.

264890040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 264890040 is about 16275.4428511178. The cubic root of 264890040 is about 642.2269749948.

The spelling of 264890040 in words is "two hundred sixty-four million, eight hundred ninety thousand, forty".