264787040 has 192 divisors, whose sum is σ = 786723840. Its totient is φ = 82114560.

The previous prime is 264787007. The next prime is 264787043. The reversal of 264787040 is 40787462.

It is a super-2 number, since 2×264787040² = 140224353103923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 264786985 and 264787003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264787043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489170 + ... + 489710.

It is an arithmetic number, because the mean of its divisors is an integer number (4097520).

Almost surely, 2^264787040 is an apocalyptic number.

264787040 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 264787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393361920).

264787040 is an abundant number, since it is smaller than the sum of its proper divisors (521936800).

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

264787040 is a wasteful number, since it uses less digits than its factorization.

264787040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 264787040 is about 16272.2782670405. The cubic root of 264787040 is about 642.1437228976.

The spelling of 264787040 in words is "two hundred sixty-four million, seven hundred eighty-seven thousand, forty".