63961842 has 32 divisors (see below), whose sum is σ = 147503232. Its totient is φ = 18111744.

The previous prime is 63961829. The next prime is 63961853. The reversal of 63961842 is 24816936.

It is a super-2 number, since 2×63961842² = 8182234464065928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 63961842.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1993 + ... + 11484.

It is an arithmetic number, because the mean of its divisors is an integer number (4609476).

Almost surely, 2^63961842 is an apocalyptic number.

63961842 is an abundant number, since it is smaller than the sum of its proper divisors (83541390).

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

63961842 is a wasteful number, since it uses less digits than its factorization.

63961842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13602.

The product of its digits is 62208, while the sum is 39.

The square root of 63961842 is about 7997.6147694172. The cubic root of 63961842 is about 399.9204883625.

It can be divided in two parts, 639 and 61842, that added together give a triangular number (62481 = T₃₅₃).

The spelling of 63961842 in words is "sixty-three million, nine hundred sixty-one thousand, eight hundred forty-two".