264540672 has 240 divisors, whose sum is σ = 884755872. Its totient is φ = 75202560.

The previous prime is 264540659. The next prime is 264540677. The reversal of 264540672 is 276045462.

264540672 is a `hidden beast` number, since 2 + 645 + 4 + 0 + 6 + 7 + 2 = 666.

It is a super-3 number, since 3×264540672³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (264540677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861543 + ... + 861849.

Almost surely, 2^264540672 is an apocalyptic number.

264540672 is a gapful number since it is divisible by the number (22) 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 264540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442377936).

264540672 is an abundant number, since it is smaller than the sum of its proper divisors (620215200).

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

264540672 is a wasteful number, since it uses less digits than its factorization.

264540672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 264540672 is about 16264.7063299649. The cubic root of 264540672 is about 641.9445027288.

The spelling of 264540672 in words is "two hundred sixty-four million, five hundred forty thousand, six hundred seventy-two".