264095040 has 224 divisors, whose sum is σ = 928298880. Its totient is φ = 63078400.

The previous prime is 264095023. The next prime is 264095057. The reversal of 264095040 is 40590462.

264095040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264095023) and next prime (264095057).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 264094989 and 264095007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 939700 + ... + 939980.

Almost surely, 2^264095040 is an apocalyptic number.

264095040 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 264095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464149440).

264095040 is an abundant number, since it is smaller than the sum of its proper divisors (664203840).

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

264095040 is a wasteful number, since it uses less digits than its factorization.

264095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 264095040 is about 16251.0011999261. The cubic root of 264095040 is about 641.5838375872.

It can be divided in two parts, 2640 and 95040, that multiplied together give a square (250905600 = 15840²).

The spelling of 264095040 in words is "two hundred sixty-four million, ninety-five thousand, forty".