63045792 has 144 divisors (see below), whose sum is σ = 193415040. Its totient is φ = 19408896.

The previous prime is 63045767. The next prime is 63045811. The reversal of 63045792 is 29754036.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386703 + ... + 386865.

It is an arithmetic number, because the mean of its divisors is an integer number (1343160).

Almost surely, 2^63045792 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 63045792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96707520).

63045792 is an abundant number, since it is smaller than the sum of its proper divisors (130369248).

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

63045792 is a wasteful number, since it uses less digits than its factorization.

63045792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 63045792 is about 7940.1380340646. The cubic root of 63045792 is about 398.0021043128.

The spelling of 63045792 in words is "sixty-three million, forty-five thousand, seven hundred ninety-two".