64842336 has 192 divisors, whose sum is σ = 213373440. Its totient is φ = 19008000.

The previous prime is 64842317. The next prime is 64842341. The reversal of 64842336 is 63324846.

It is a happy number.

64842336 is a `hidden beast` number, since 648 + 4 + 2 + 3 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 64842336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258211 + ... + 258461.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 2^64842336 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 64842336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

64842336 is an abundant number, since it is smaller than the sum of its proper divisors (148531104).

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

64842336 is a wasteful number, since it uses less digits than its factorization.

64842336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 64842336 is about 8052.4739055771. The cubic root of 64842336 is about 401.7472235788.

The spelling of 64842336 in words is "sixty-four million, eight hundred forty-two thousand, three hundred thirty-six".