63113400 has 144 divisors (see below), whose sum is σ = 242283600. Its totient is φ = 14423040.

The previous prime is 63113399. The next prime is 63113429. The reversal of 63113400 is 431136.

63113400 is a `hidden beast` number, since 631 + 1 + 34 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10096 + ... + 15104.

It is an arithmetic number, because the mean of its divisors is an integer number (1682525).

Almost surely, 2^63113400 is an apocalyptic number.

63113400 is a gapful number since it is divisible by the number (60) 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 63113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121141800).

63113400 is an abundant number, since it is smaller than the sum of its proper divisors (179170200).

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

63113400 is a wasteful number, since it uses less digits than its factorization.

63113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5026 counting only the distinct ones).

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

The square root of 63113400 is about 7944.3942500357. The cubic root of 63113400 is about 398.1443211191.

Adding to 63113400 its reverse (431136), we get a palindrome (63544536).

The spelling of 63113400 in words is "sixty-three million, one hundred thirteen thousand, four hundred".