63420192 has 96 divisors (see below), whose sum is σ = 201821760. Its totient is φ = 19215360.

The previous prime is 63420179. The next prime is 63420197. The reversal of 63420192 is 29102436.

63420192 is a `hidden beast` number, since 634 + 20 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (63420197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6168 + ... + 12840.

It is an arithmetic number, because the mean of its divisors is an integer number (2102310).

Almost surely, 2^63420192 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 63420192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100910880).

63420192 is an abundant number, since it is smaller than the sum of its proper divisors (138401568).

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

63420192 is a wasteful number, since it uses less digits than its factorization.

63420192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703 (or 6689 counting only the distinct ones).

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

The square root of 63420192 is about 7963.6795515641. The cubic root of 63420192 is about 398.7884004383.

The spelling of 63420192 in words is "sixty-three million, four hundred twenty thousand, one hundred ninety-two".