82894680 has 192 divisors, whose sum is σ = 298041120. Its totient is φ = 19979520.

The previous prime is 82894667. The next prime is 82894687. The reversal of 82894680 is 8649828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82894687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479074 + ... + 479246.

Almost surely, 2^82894680 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 82894680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149020560).

82894680 is an abundant number, since it is smaller than the sum of its proper divisors (215146440).

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

82894680 is a wasteful number, since it uses less digits than its factorization.

82894680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 82894680 is about 9104.6515584068. The cubic root of 82894680 is about 436.0224857241.

The spelling of 82894680 in words is "eighty-two million, eight hundred ninety-four thousand, six hundred eighty".