63212832 has 96 divisors (see below), whose sum is σ = 192447360. Its totient is φ = 20148480.

The previous prime is 63212827. The next prime is 63212879. The reversal of 63212832 is 23821236.

63212832 is a `hidden beast` number, since 632 + 1 + 28 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 63212796 and 63212805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18282 + ... + 21462.

It is an arithmetic number, because the mean of its divisors is an integer number (2004660).

Almost surely, 2^63212832 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 63212832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96223680).

63212832 is an abundant number, since it is smaller than the sum of its proper divisors (129234528).

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

63212832 is a wasteful number, since it uses less digits than its factorization.

63212832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3209 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 63212832 is about 7950.6497847660. The cubic root of 63212832 is about 398.3532968915.

The spelling of 63212832 in words is "sixty-three million, two hundred twelve thousand, eight hundred thirty-two".