1013223600 has 240 divisors, whose sum is σ = 3764044800. Its totient is φ = 258382080.

The previous prime is 1013223581. The next prime is 1013223667. The reversal of 1013223600 is 63223101.

1013223600 is a `hidden beast` number, since 10 + 1 + 32 + 23 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246361 + ... + 250439.

It is an arithmetic number, because the mean of its divisors is an integer number (15683520).

Almost surely, 2^1013223600 is an apocalyptic number.

1013223600 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 1013223600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882022400).

1013223600 is an abundant number, since it is smaller than the sum of its proper divisors (2750821200).

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

1013223600 is a wasteful number, since it uses less digits than its factorization.

1013223600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1013223600 is about 31831.1733996722. The cubic root of 1013223600 is about 1004.3885788681.

Adding to 1013223600 its reverse (63223101), we get a palindrome (1076446701).

The spelling of 1013223600 in words is "one billion, thirteen million, two hundred twenty-three thousand, six hundred".