63067264 has 64 divisors (see below), whose sum is σ = 136745280. Its totient is φ = 28800000.

The previous prime is 63067261. The next prime is 63067271. The reversal of 63067264 is 46276036.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (63067261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251139 + ... + 251389.

It is an arithmetic number, because the mean of its divisors is an integer number (2136645).

Almost surely, 2^63067264 is an apocalyptic number.

63067264 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 63067264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68372640).

63067264 is an abundant number, since it is smaller than the sum of its proper divisors (73678016).

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

63067264 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 63067264 = (32666407)₁₁.

63067264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 63067264 is about 7941.4900365108. The cubic root of 63067264 is about 398.0472827507.

The spelling of 63067264 in words is "sixty-three million, sixty-seven thousand, two hundred sixty-four".