264150640 has 80 divisors (see below), whose sum is σ = 664020000. Its totient is φ = 97145856.

The previous prime is 264150637. The next prime is 264150661. The reversal of 264150640 is 46051462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×264150640² = 139551121224819200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264150599 and 264150608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518706 + ... + 519214.

It is an arithmetic number, because the mean of its divisors is an integer number (8300250).

Almost surely, 2^264150640 is an apocalyptic number.

264150640 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 264150640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332010000).

264150640 is an abundant number, since it is smaller than the sum of its proper divisors (399869360).

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

264150640 is a wasteful number, since it uses less digits than its factorization.

264150640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 264150640 is about 16252.7117737318. The cubic root of 264150640 is about 641.6288587007.

The spelling of 264150640 in words is "two hundred sixty-four million, one hundred fifty thousand, six hundred forty".