1356916320 has 384 divisors, whose sum is σ = 4999034880. Its totient is φ = 343388160.

The previous prime is 1356916289. The next prime is 1356916321. The reversal of 1356916320 is 236196531.

1356916320 is a `hidden beast` number, since 13 + 5 + 6 + 9 + 1 + 632 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356916321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8324559 + ... + 8324721.

It is an arithmetic number, because the mean of its divisors is an integer number (13018320).

Almost surely, 2^1356916320 is an apocalyptic number.

1356916320 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 1356916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499517440).

1356916320 is an abundant number, since it is smaller than the sum of its proper divisors (3642118560).

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

1356916320 is a wasteful number, since it uses less digits than its factorization.

1356916320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1356916320 is about 36836.3450955710. The cubic root of 1356916320 is about 1107.0936385711.

The spelling of 1356916320 in words is "one billion, three hundred fifty-six million, nine hundred sixteen thousand, three hundred twenty".