1353927960 has 576 divisors, whose sum is σ = 5781784320. Its totient is φ = 277136640.

The previous prime is 1353927947. The next prime is 1353927997. The reversal of 1353927960 is 697293531.

1353927960 is a `hidden beast` number, since 1 + 3 + 539 + 27 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 20207847 + ... + 20207913.

It is an arithmetic number, because the mean of its divisors is an integer number (10037820).

Almost surely, 2^1353927960 is an apocalyptic number.

1353927960 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 1353927960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890892160).

1353927960 is an abundant number, since it is smaller than the sum of its proper divisors (4427856360).

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

1353927960 is an equidigital number, since it uses as much as digits as its factorization.

1353927960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 1353927960 is about 36795.7600818355. The cubic root of 1353927960 is about 1106.2803174685.

The spelling of 1353927960 in words is "one billion, three hundred fifty-three million, nine hundred twenty-seven thousand, nine hundred sixty".