64982736 has 400 divisors, whose sum is σ = 252067200. Its totient is φ = 15676416.

The previous prime is 64982713. The next prime is 64982741. The reversal of 64982736 is 63728946.

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

It is a junction number, because it is equal to n+sod(n) for n = 64982691 and 64982700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2240770 + ... + 2240798.

It is an arithmetic number, because the mean of its divisors is an integer number (630168).

Almost surely, 2^64982736 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 64982736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126033600).

64982736 is an abundant number, since it is smaller than the sum of its proper divisors (187084464).

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

64982736 is a wasteful number, since it uses less digits than its factorization.

64982736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 64982736 is about 8061.1870093678. The cubic root of 64982736 is about 402.0369758816.

The spelling of 64982736 in words is "sixty-four million, nine hundred eighty-two thousand, seven hundred thirty-six".