63948300 has 144 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 14895360.

The previous prime is 63948299. The next prime is 63948307. The reversal of 63948300 is 384936.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63948307) 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, 73669 + ... + 74531.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 2^63948300 is an apocalyptic number.

63948300 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 63948300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

63948300 is an abundant number, since it is smaller than the sum of its proper divisors (146038260).

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

63948300 is a wasteful number, since it uses less digits than its factorization.

63948300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 63948300 is about 7996.7680971753. The cubic root of 63948300 is about 399.8922626509.

It can be divided in two parts, 63948 and 300, that multiplied together give a square (19184400 = 4380²).

The spelling of 63948300 in words is "sixty-three million, nine hundred forty-eight thousand, three hundred".