1264737920 has 64 divisors (see below), whose sum is σ = 3030116040. Its totient is φ = 504791040.

The previous prime is 1264737913. The next prime is 1264738003. The reversal of 1264737920 is 297374621.

It can be written as a sum of positive squares in 4 ways, for example, as 681418816 + 583319104 = 26104^2 + 24152^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331544 + ... + 335336.

Almost surely, 2^1264737920 is an apocalyptic number.

1264737920 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 1264737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515058020).

1264737920 is an abundant number, since it is smaller than the sum of its proper divisors (1765378120).

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

1264737920 is an equidigital number, since it uses as much as digits as its factorization.

1264737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 1264737920 is about 35563.1539658675. The cubic root of 1264737920 is about 1081.4343995034.

The spelling of 1264737920 in words is "one billion, two hundred sixty-four million, seven hundred thirty-seven thousand, nine hundred twenty".