1213670640 has 320 divisors, whose sum is σ = 4711698432. Its totient is φ = 251596800.

The previous prime is 1213670639. The next prime is 1213670659. The reversal of 1213670640 is 460763121.

1213670640 = 6143² + 6144² + ... + 6174².

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1213670598 and 1213670607.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1331785 + ... + 1332695.

Almost surely, 2^1213670640 is an apocalyptic number.

1213670640 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 1213670640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355849216).

1213670640 is an abundant number, since it is smaller than the sum of its proper divisors (3498027792).

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

1213670640 is a wasteful number, since it uses less digits than its factorization.

1213670640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1213670640 is about 34837.7760484219. The cubic root of 1213670640 is about 1066.6786812883.

The spelling of 1213670640 in words is "one billion, two hundred thirteen million, six hundred seventy thousand, six hundred forty".