1321496064 has 240 divisors, whose sum is σ = 4446760032. Its totient is φ = 369967104.

The previous prime is 1321496021. The next prime is 1321496069. The reversal of 1321496064 is 4606941231.

1321496064 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 49 + 606 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321496069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1709182 + ... + 1709954.

Almost surely, 2^1321496064 is an apocalyptic number.

1321496064 is a gapful number since it is divisible by the number (14) 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 1321496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223380016).

1321496064 is an abundant number, since it is smaller than the sum of its proper divisors (3125263968).

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

1321496064 is an equidigital number, since it uses as much as digits as its factorization.

1321496064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1321496064 is about 36352.3873218803. The cubic root of 1321496064 is about 1097.3755793525.

It can be divided in two parts, 13214 and 96064, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 1321496064 in words is "one billion, three hundred twenty-one million, four hundred ninety-six thousand, sixty-four".