1353431680 has 128 divisors (see below), whose sum is σ = 3342254400. Its totient is φ = 523837440.

The previous prime is 1353431669. The next prime is 1353431687. The reversal of 1353431680 is 861343531.

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

It is not an unprimeable number, because it can be changed into a prime (1353431687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2756235 + ... + 2756725.

Almost surely, 2^1353431680 is an apocalyptic number.

1353431680 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 1353431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671127200).

1353431680 is an abundant number, since it is smaller than the sum of its proper divisors (1988822720).

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

1353431680 is an equidigital number, since it uses as much as digits as its factorization.

1353431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 1353431680 is about 36789.0157519877. The cubic root of 1353431680 is about 1106.1451325578.

The spelling of 1353431680 in words is "one billion, three hundred fifty-three million, four hundred thirty-one thousand, six hundred eighty".