1356832080 has 160 divisors (see below), whose sum is σ = 4701841920. Its totient is φ = 359631360.

The previous prime is 1356832063. The next prime is 1356832097. The reversal of 1356832080 is 802386531.

1356832080 is a `hidden beast` number, since 13 + 568 + 3 + 2 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1356832063) and next prime (1356832097).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371865 + ... + 375495.

It is an arithmetic number, because the mean of its divisors is an integer number (29386512).

Almost surely, 2^1356832080 is an apocalyptic number.

1356832080 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 1356832080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350920960).

1356832080 is an abundant number, since it is smaller than the sum of its proper divisors (3345009840).

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

1356832080 is a wasteful number, since it uses less digits than its factorization.

1356832080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1356832080 is about 36835.2016419077. The cubic root of 1356832080 is about 1107.0707279227.

The spelling of 1356832080 in words is "one billion, three hundred fifty-six million, eight hundred thirty-two thousand, eighty".