63387100 has 72 divisors (see below), whose sum is σ = 159239808. Its totient is φ = 21451200.

The previous prime is 63387083. The next prime is 63387109. The reversal of 63387100 is 178336.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63387109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57555 + ... + 58645.

It is an arithmetic number, because the mean of its divisors is an integer number (2211664).

Almost surely, 2^63387100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63387100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79619904).

63387100 is an abundant number, since it is smaller than the sum of its proper divisors (95852708).

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

63387100 is a wasteful number, since it uses less digits than its factorization.

63387100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 63387100 is about 7961.6015976686. The cubic root of 63387100 is about 398.7190271504.

The spelling of 63387100 in words is "sixty-three million, three hundred eighty-seven thousand, one hundred".