63846900 has 288 divisors, whose sum is σ = 236234880. Its totient is φ = 14653440.

The previous prime is 63846889. The next prime is 63846901. The reversal of 63846900 is 964836.

It is a super-2 number, since 2×63846900² = 8152853279220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63846901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 596647 + ... + 596753.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 2^63846900 is an apocalyptic number.

63846900 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 63846900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

63846900 is an abundant number, since it is smaller than the sum of its proper divisors (172387980).

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

63846900 is a wasteful number, since it uses less digits than its factorization.

63846900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 63846900 is about 7990.4255205840. The cubic root of 63846900 is about 399.6807869921.

It can be divided in two parts, 63846 and 900, that added together give a palindrome (64746).

The spelling of 63846900 in words is "sixty-three million, eight hundred forty-six thousand, nine hundred".