63046144 has 80 divisors (see below), whose sum is σ = 147312000. Its totient is φ = 26944512.

The previous prime is 63046133. The next prime is 63046163. The reversal of 63046144 is 44164036.

It is a happy number.

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

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175437 + ... + 175795.

It is an arithmetic number, because the mean of its divisors is an integer number (1841400).

Almost surely, 2^63046144 is an apocalyptic number.

63046144 is a gapful number since it is divisible by the number (64) 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 63046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656000).

63046144 is an abundant number, since it is smaller than the sum of its proper divisors (84265856).

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

63046144 is an frugal number, since it uses more digits than its factorization.

63046144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 63046144 is about 7940.1601998952. The cubic root of 63046144 is about 398.0028450257.

It can be divided in two parts, 63046 and 144, that added together give a triangular number (63190 = T₃₅₅).

The spelling of 63046144 in words is "sixty-three million, forty-six thousand, one hundred forty-four".