64516842 has 48 divisors (see below), whose sum is σ = 151213608. Its totient is φ = 19762560.

The previous prime is 64516841. The next prime is 64516843. The reversal of 64516842 is 24861546.

64516842 is a `hidden beast` number, since 64 + 516 + 84 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (64516841) and next prime (64516843).

It can be written as a sum of positive squares in 4 ways, for example, as 60512841 + 4004001 = 7779^2 + 2001^2 .

It is a junction number, because it is equal to n+sod(n) for n = 64516797 and 64516806.

It is not an unprimeable number, because it can be changed into a prime (64516841) 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, 68092 + ... + 69032.

Almost surely, 2^64516842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64516842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75606804).

64516842 is an abundant number, since it is smaller than the sum of its proper divisors (86696766).

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

64516842 is a wasteful number, since it uses less digits than its factorization.

64516842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1252 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 64516842 is about 8032.2376707864. The cubic root of 64516842 is about 401.0738686023.

The spelling of 64516842 in words is "sixty-four million, five hundred sixteen thousand, eight hundred forty-two".