1264554720 has 768 divisors, whose sum is σ = 5486745600. Its totient is φ = 267632640.

The previous prime is 1264554689. The next prime is 1264554749. The reversal of 1264554720 is 274554621.

It is a happy number.

1264554720 is a `hidden beast` number, since 1 + 2 + 645 + 5 + 4 + 7 + 2 + 0 = 666.

1264554720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 14208436 + ... + 14208524.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2^1264554720 is an apocalyptic number.

1264554720 is a gapful number since it is divisible by the number (10) 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 1264554720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743372800).

1264554720 is an abundant number, since it is smaller than the sum of its proper divisors (4222190880).

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

1264554720 is a wasteful number, since it uses less digits than its factorization.

1264554720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 1264554720 is about 35560.5781730275. The cubic root of 1264554720 is about 1081.3821809514.

Subtracting from 1264554720 its reverse (274554621), we obtain a palindrome (990000099).

The spelling of 1264554720 in words is "one billion, two hundred sixty-four million, five hundred fifty-four thousand, seven hundred twenty".