1013869600 has 72 divisors (see below), whose sum is σ = 2483630100. Its totient is φ = 404152320.

The previous prime is 1013869589. The next prime is 1013869603. The reversal of 1013869600 is 69683101.

It can be written as a sum of positive squares in 6 ways, for example, as 24641296 + 989228304 = 4964^2 + 31452^2 .

It is not an unprimeable number, because it can be changed into a prime (1013869603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248376 + ... + 252424.

Almost surely, 2^1013869600 is an apocalyptic number.

1013869600 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 1013869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241815050).

1013869600 is an abundant number, since it is smaller than the sum of its proper divisors (1469760500).

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

1013869600 is a wasteful number, since it uses less digits than its factorization.

1013869600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 1013869600 is about 31841.3190681542. The cubic root of 1013869600 is about 1004.6019892079.

The spelling of 1013869600 in words is "one billion, thirteen million, eight hundred sixty-nine thousand, six hundred".