63673632 has 144 divisors (see below), whose sum is σ = 200491200. Its totient is φ = 19008000.

The previous prime is 63673607. The next prime is 63673657. The reversal of 63673632 is 23637636.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (63673607) and next prime (63673657).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319869 + ... + 320067.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^63673632 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 63673632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100245600).

63673632 is an abundant number, since it is smaller than the sum of its proper divisors (136817568).

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

63673632 is a wasteful number, since it uses less digits than its factorization.

63673632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its digits is 81648, while the sum is 36.

The square root of 63673632 is about 7979.5759285817. The cubic root of 63673632 is about 399.3189076078.

It can be divided in two parts, 6367 and 3632, that added together give a palindrome (9999).

The spelling of 63673632 in words is "sixty-three million, six hundred seventy-three thousand, six hundred thirty-two".