1340008576 has 128 divisors (see below), whose sum is σ = 2878162560. Its totient is φ = 620421120.

The previous prime is 1340008567. The next prime is 1340008591. The reversal of 1340008576 is 6758000431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13009741 + ... + 13009843.

It is an arithmetic number, because the mean of its divisors is an integer number (22485645).

Almost surely, 2^1340008576 is an apocalyptic number.

1340008576 is a gapful number since it is divisible by the number (16) 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 1340008576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439081280).

1340008576 is an abundant number, since it is smaller than the sum of its proper divisors (1538153984).

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

1340008576 is a wasteful number, since it uses less digits than its factorization.

1340008576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1340008576 is about 36606.1275744922. The cubic root of 1340008576 is about 1102.4761233888.

The spelling of 1340008576 in words is "one billion, three hundred forty million, eight thousand, five hundred seventy-six".