63145264 has 80 divisors (see below), whose sum is σ = 155545600. Its totient is φ = 24157440.

The previous prime is 63145249. The next prime is 63145297. The reversal of 63145264 is 46254136.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44437 + ... + 45835.

It is an arithmetic number, because the mean of its divisors is an integer number (1944320).

Almost surely, 2^63145264 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 63145264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77772800).

63145264 is an abundant number, since it is smaller than the sum of its proper divisors (92400336).

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

63145264 is a wasteful number, since it uses less digits than its factorization.

63145264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1452 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 63145264 is about 7946.3994362227. The cubic root of 63145264 is about 398.2113134232.

The spelling of 63145264 in words is "sixty-three million, one hundred forty-five thousand, two hundred sixty-four".