1352856960 has 768 divisors, whose sum is σ = 6014736000. Its totient is φ = 272498688.

The previous prime is 1352856919. The next prime is 1352856971. The reversal of 1352856960 is 696582531.

1352856960 is a `hidden beast` number, since 1 + 3 + 5 + 28 + 569 + 60 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15200596 + ... + 15200684.

Almost surely, 2^1352856960 is an apocalyptic number.

1352856960 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 1352856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007368000).

1352856960 is an abundant number, since it is smaller than the sum of its proper divisors (4661879040).

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

1352856960 is a wasteful number, since it uses less digits than its factorization.

1352856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1352856960 is about 36781.2038954681. The cubic root of 1352856960 is about 1105.9885395689.

The spelling of 1352856960 in words is "one billion, three hundred fifty-two million, eight hundred fifty-six thousand, nine hundred sixty".