1309652064 has 480 divisors, whose sum is σ = 4829932800. Its totient is φ = 339655680.

The previous prime is 1309652051. The next prime is 1309652089. The reversal of 1309652064 is 4602569031.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9997279 + ... + 9997409.

It is an arithmetic number, because the mean of its divisors is an integer number (10062360).

Almost surely, 2^1309652064 is an apocalyptic number.

1309652064 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 1309652064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414966400).

1309652064 is an abundant number, since it is smaller than the sum of its proper divisors (3520280736).

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

1309652064 is a wasteful number, since it uses less digits than its factorization.

1309652064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1309652064 is about 36189.1152696498. The cubic root of 1309652064 is about 1094.0873010130.

The spelling of 1309652064 in words is "one billion, three hundred nine million, six hundred fifty-two thousand, sixty-four".