1321007376 has 160 divisors (see below), whose sum is σ = 3928637440. Its totient is φ = 379095552.

The previous prime is 1321007353. The next prime is 1321007407. The reversal of 1321007376 is 6737001231.

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, 793521 + ... + 795183.

It is an arithmetic number, because the mean of its divisors is an integer number (24553984).

Almost surely, 2^1321007376 is an apocalyptic number.

1321007376 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 1321007376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964318720).

1321007376 is an abundant number, since it is smaller than the sum of its proper divisors (2607630064).

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

1321007376 is a wasteful number, since it uses less digits than its factorization.

1321007376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 1321007376 is about 36345.6651610615. The cubic root of 1321007376 is about 1097.2402931896.

The spelling of 1321007376 in words is "one billion, three hundred twenty-one million, seven thousand, three hundred seventy-six".