1238013600 has 72 divisors (see below), whose sum is σ = 4029742080. Its totient is φ = 330136320.

The previous prime is 1238013587. The next prime is 1238013611. The reversal of 1238013600 is 63108321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255520 + ... + 260319.

It is an arithmetic number, because the mean of its divisors is an integer number (55968640).

Almost surely, 2^1238013600 is an apocalyptic number.

1238013600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1238013600 is an abundant number, since it is smaller than the sum of its proper divisors (2791728480).

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

1238013600 is a wasteful number, since it uses less digits than its factorization.

1238013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515862 (or 515849 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1238013600 is about 35185.4174339313. The cubic root of 1238013600 is about 1073.7630914952.

The spelling of 1238013600 in words is "one billion, two hundred thirty-eight million, thirteen thousand, six hundred".