1353782960 has 40 divisors (see below), whose sum is σ = 3149136240. Its totient is φ = 541239552.

The previous prime is 1353782957. The next prime is 1353782987. The reversal of 1353782960 is 692873531.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245999 + ... + 251441.

It is an arithmetic number, because the mean of its divisors is an integer number (78728406).

Almost surely, 2^1353782960 is an apocalyptic number.

1353782960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353782960 is an abundant number, since it is smaller than the sum of its proper divisors (1795353280).

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

1353782960 is a wasteful number, since it uses less digits than its factorization.

1353782960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565 (or 8559 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 1353782960 is about 36793.7896933708. The cubic root of 1353782960 is about 1106.2408233995.

The spelling of 1353782960 in words is "one billion, three hundred fifty-three million, seven hundred eighty-two thousand, nine hundred sixty".