1264564224 has 504 divisors, whose sum is σ = 4762288440. Its totient is φ = 328458240.

The previous prime is 1264564177. The next prime is 1264564289. The reversal of 1264564224 is 4224654621.

1264564224 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 5 + 642 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 114960379 + ... + 114960389.

It is an arithmetic number, because the mean of its divisors is an integer number (9448985).

Almost surely, 2^1264564224 is an apocalyptic number.

1264564224 is a gapful number since it is divisible by the number (14) 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 1264564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381144220).

1264564224 is an abundant number, since it is smaller than the sum of its proper divisors (3497724216).

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

1264564224 is an frugal number, since it uses more digits than its factorization.

1264564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 1264564224 is about 35560.7118038995. The cubic root of 1264564224 is about 1081.3848900553.

The spelling of 1264564224 in words is "one billion, two hundred sixty-four million, five hundred sixty-four thousand, two hundred twenty-four".