1359009920 has 64 divisors (see below), whose sum is σ = 3440021400. Its totient is φ = 511623168.

The previous prime is 1359009907. The next prime is 1359009943. The reversal of 1359009920 is 299009531.

It can be written as a sum of positive squares in 4 ways, for example, as 922701376 + 436308544 = 30376^2 + 20888^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 51575 + ... + 73334.

Almost surely, 2^1359009920 is an apocalyptic number.

1359009920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1359009920 is an abundant number, since it is smaller than the sum of its proper divisors (2081011480).

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

1359009920 is a wasteful number, since it uses less digits than its factorization.

1359009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124945 (or 124933 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 38.

The square root of 1359009920 is about 36864.7517284465. The cubic root of 1359009920 is about 1107.6627280009.

The spelling of 1359009920 in words is "one billion, three hundred fifty-nine million, nine thousand, nine hundred twenty".