1300631600 has 120 divisors (see below), whose sum is σ = 3293077920. Its totient is φ = 492687360.

The previous prime is 1300631599. The next prime is 1300631603. The reversal of 1300631600 is 61360031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1300631603) 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, 1002152 + ... + 1003448.

It is an arithmetic number, because the mean of its divisors is an integer number (27442316).

Almost surely, 2^1300631600 is an apocalyptic number.

1300631600 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 1300631600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646538960).

1300631600 is an abundant number, since it is smaller than the sum of its proper divisors (1992446320).

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

1300631600 is a wasteful number, since it uses less digits than its factorization.

1300631600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 1300631600 is about 36064.2704071495. The cubic root of 1300631600 is about 1091.5696041226.

Adding to 1300631600 its reverse (61360031), we get a palindrome (1361991631).

The spelling of 1300631600 in words is "one billion, three hundred million, six hundred thirty-one thousand, six hundred".