1264112920 has 64 divisors (see below), whose sum is σ = 3279424320. Its totient is φ = 429563904.

The previous prime is 1264112909. The next prime is 1264112953. The reversal of 1264112920 is 292114621.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 11664 + ... + 51616.

It is an arithmetic number, because the mean of its divisors is an integer number (51241005).

Almost surely, 2^1264112920 is an apocalyptic number.

1264112920 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 1264112920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639712160).

1264112920 is an abundant number, since it is smaller than the sum of its proper divisors (2015311400).

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

1264112920 is a wasteful number, since it uses less digits than its factorization.

1264112920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40084 (or 40080 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1264112920 is about 35554.3656953686. The cubic root of 1264112920 is about 1081.2562314007.

The spelling of 1264112920 in words is "one billion, two hundred sixty-four million, one hundred twelve thousand, nine hundred twenty".