1013673600 has 288 divisors, whose sum is σ = 3682686540. Its totient is φ = 265420800.

The previous prime is 1013673593. The next prime is 1013673653. The reversal of 1013673600 is 63763101.

1013673600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 413227584 + 600446016 = 20328^2 + 24504^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1756512 + ... + 1757088.

Almost surely, 2^1013673600 is an apocalyptic number.

1013673600 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 1013673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841343270).

1013673600 is an abundant number, since it is smaller than the sum of its proper divisors (2669012940).

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

1013673600 is a wasteful number, since it uses less digits than its factorization.

1013673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1013673600 is about 31838.2411574509. The cubic root of 1013673600 is about 1004.5372489035.

The spelling of 1013673600 in words is "one billion, thirteen million, six hundred seventy-three thousand, six hundred".