1353664032 has 96 divisors (see below), whose sum is σ = 4299910272. Its totient is φ = 364007424.

The previous prime is 1353664021. The next prime is 1353664069. The reversal of 1353664032 is 2304663531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1353663984 and 1353664002.

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, 47823 + ... + 70670.

It is an arithmetic number, because the mean of its divisors is an integer number (44790732).

Almost surely, 2^1353664032 is an apocalyptic number.

1353664032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1353664032 is an abundant number, since it is smaller than the sum of its proper divisors (2946246240).

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

1353664032 is a wasteful number, since it uses less digits than its factorization.

1353664032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118530 (or 118522 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 1353664032 is about 36792.1735155726. The cubic root of 1353664032 is about 1106.2084285313.

The spelling of 1353664032 in words is "one billion, three hundred fifty-three million, six hundred sixty-four thousand, thirty-two".