1313764920 has 384 divisors, whose sum is σ = 4914786240. Its totient is φ = 313528320.

The previous prime is 1313764909. The next prime is 1313764961. The reversal of 1313764920 is 294673131.

1313764920 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 7 + 649 + 2 + 0 = 666.

1313764920 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 95 ways as a sum of consecutive naturals, for example, 4675180 + ... + 4675460.

Almost surely, 2^1313764920 is an apocalyptic number.

1313764920 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 1313764920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457393120).

1313764920 is an abundant number, since it is smaller than the sum of its proper divisors (3601021320).

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

1313764920 is a wasteful number, since it uses less digits than its factorization.

1313764920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1313764920 is about 36245.8952158724. The cubic root of 1313764920 is about 1095.2314016490.

The spelling of 1313764920 in words is "one billion, three hundred thirteen million, seven hundred sixty-four thousand, nine hundred twenty".