1300029696 has 288 divisors, whose sum is σ = 4454938880. Its totient is φ = 366280704.

The previous prime is 1300029683. The next prime is 1300029727. The reversal of 1300029696 is 6969200031.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1300029696.

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 31 ways as a sum of consecutive naturals, for example, 4693110 + ... + 4693386.

Almost surely, 2^1300029696 is an apocalyptic number.

1300029696 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 1300029696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227469440).

1300029696 is an abundant number, since it is smaller than the sum of its proper divisors (3154909184).

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

1300029696 is an equidigital number, since it uses as much as digits as its factorization.

1300029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1300029696 is about 36055.9245617138. The cubic root of 1300029696 is about 1091.4011932550.

The spelling of 1300029696 in words is "one billion, three hundred million, twenty-nine thousand, six hundred ninety-six".