1113836400 has 240 divisors, whose sum is σ = 3996529920. Its totient is φ = 294624000.

The previous prime is 1113836377. The next prime is 1113836407. The reversal of 1113836400 is 46383111.

1113836400 is a `hidden beast` number, since 1 + 1 + 13 + 8 + 3 + 640 + 0 = 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113836407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1630459 + ... + 1631141.

It is an arithmetic number, because the mean of its divisors is an integer number (16652208).

Almost surely, 2^1113836400 is an apocalyptic number.

1113836400 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 1113836400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998264960).

1113836400 is an abundant number, since it is smaller than the sum of its proper divisors (2882693520).

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

1113836400 is a wasteful number, since it uses less digits than its factorization.

1113836400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1113836400 is about 33374.1876305626. The cubic root of 1113836400 is about 1036.5902878745.

The spelling of 1113836400 in words is "one billion, one hundred thirteen million, eight hundred thirty-six thousand, four hundred".