63574304 has 48 divisors (see below), whose sum is σ = 136039680. Its totient is φ = 29134080.

The previous prime is 63574279. The next prime is 63574307. The reversal of 63574304 is 40347536.

It is a super-3 number, since 3×63574304³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (63574307) 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, 17162 + ... + 20534.

It is an arithmetic number, because the mean of its divisors is an integer number (2834160).

Almost surely, 2^63574304 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 63574304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68019840).

63574304 is an abundant number, since it is smaller than the sum of its proper divisors (72465376).

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

63574304 is a wasteful number, since it uses less digits than its factorization.

63574304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 63574304 is about 7973.3496097939. The cubic root of 63574304 is about 399.1111597036. Note that the first 4 decimals are identical.

The spelling of 63574304 in words is "sixty-three million, five hundred seventy-four thousand, three hundred four".