6361632 has 96 divisors (see below), whose sum is σ = 19152000. Its totient is φ = 2052864.

The previous prime is 6361627. The next prime is 6361651. The reversal of 6361632 is 2361636.

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 an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6361596 and 6361605.

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, 31869 + ... + 32067.

It is an arithmetic number, because the mean of its divisors is an integer number (199500).

Almost surely, 2^6361632 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 6361632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576000).

6361632 is an abundant number, since it is smaller than the sum of its proper divisors (12790368).

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

6361632 is a wasteful number, since it uses less digits than its factorization.

6361632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 6361632 is about 2522.2275868763. The cubic root of 6361632 is about 185.2917917809.

The spelling of 6361632 in words is "six million, three hundred sixty-one thousand, six hundred thirty-two".