63421920 has 192 divisors, whose sum is σ = 226981440. Its totient is φ = 16533504.

The previous prime is 63421913. The next prime is 63421931. The reversal of 63421920 is 2912436.

63421920 = 276² + 277² + ... + 595².

63421920 is a `hidden beast` number, since 634 + 2 + 1 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 228822 + ... + 229098.

It is an arithmetic number, because the mean of its divisors is an integer number (1182195).

Almost surely, 2^63421920 is an apocalyptic number.

63421920 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 63421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113490720).

63421920 is an abundant number, since it is smaller than the sum of its proper divisors (163559520).

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

63421920 is a wasteful number, since it uses less digits than its factorization.

63421920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 63421920 is about 7963.7880433874. The cubic root of 63421920 is about 398.7920223137.

The spelling of 63421920 in words is "sixty-three million, four hundred twenty-one thousand, nine hundred twenty".