64113642 has 48 divisors (see below), whose sum is σ = 145117440. Its totient is φ = 20433600.

The previous prime is 64113641. The next prime is 64113649. The reversal of 64113642 is 24631146.

64113642 is a `hidden beast` number, since 6 + 4 + 1 + 13 + 642 = 666.

It is a super-2 number, since 2×64113642² = 8221118181008328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64113641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49017 + ... + 50307.

It is an arithmetic number, because the mean of its divisors is an integer number (3023280).

Almost surely, 2^64113642 is an apocalyptic number.

64113642 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64113642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72558720).

64113642 is an abundant number, since it is smaller than the sum of its proper divisors (81003798).

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

64113642 is a wasteful number, since it uses less digits than its factorization.

64113642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1416 counting only the distinct ones).

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

The square root of 64113642 is about 8007.0994748411. The cubic root of 64113642 is about 400.2366141734.

Adding to 64113642 its reverse (24631146), we get a palindrome (88744788).

The spelling of 64113642 in words is "sixty-four million, one hundred thirteen thousand, six hundred forty-two".