1013997600 has 864 divisors, whose sum is σ = 4679700480. Its totient is φ = 200448000.

The previous prime is 1013997563. The next prime is 1013997601. The reversal of 1013997600 is 67993101.

1013997600 is a `hidden beast` number, since 10 + 1 + 39 + 9 + 7 + 600 = 666.

It is a super-2 number, since 2×1013997600² = 2056382265611520000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1013997601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17186371 + ... + 17186429.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2^1013997600 is an apocalyptic number.

1013997600 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 1013997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339850240).

1013997600 is an abundant number, since it is smaller than the sum of its proper divisors (3665702880).

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

1013997600 is a wasteful number, since it uses less digits than its factorization.

1013997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 1013997600 is about 31843.3289717014. The cubic root of 1013997600 is about 1004.6442640868.

The spelling of 1013997600 in words is "one billion, thirteen million, nine hundred ninety-seven thousand, six hundred".