82634688 has 224 divisors, whose sum is σ = 268833600. Its totient is φ = 24772608.

The previous prime is 82634683. The next prime is 82634689. The reversal of 82634688 is 88643628.

It is a happy number.

82634688 is a `hidden beast` number, since 8 + 2 + 634 + 6 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82634681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851856 + ... + 851952.

It is an arithmetic number, because the mean of its divisors is an integer number (1200150).

Almost surely, 2^82634688 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 82634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134416800).

82634688 is an abundant number, since it is smaller than the sum of its proper divisors (186198912).

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

82634688 is a wasteful number, since it uses less digits than its factorization.

82634688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 82634688 is about 9090.3623690148. The cubic root of 82634688 is about 435.5661593667.

The spelling of 82634688 in words is "eighty-two million, six hundred thirty-four thousand, six hundred eighty-eight".