63678120 has 128 divisors (see below), whose sum is σ = 219456000. Its totient is φ = 14618880.

The previous prime is 63678103. The next prime is 63678137. The reversal of 63678120 is 2187636.

It is an interprime number because it is at equal distance from previous prime (63678103) and next prime (63678137).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23811 + ... + 26349.

It is an arithmetic number, because the mean of its divisors is an integer number (1714500).

Almost surely, 2^63678120 is an apocalyptic number.

63678120 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 63678120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109728000).

63678120 is an abundant number, since it is smaller than the sum of its proper divisors (155777880).

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

63678120 is a wasteful number, since it uses less digits than its factorization.

63678120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 63678120 is about 7979.8571415784. The cubic root of 63678120 is about 399.3282893099.

The spelling of 63678120 in words is "sixty-three million, six hundred seventy-eight thousand, one hundred twenty".