82846460 has 48 divisors (see below), whose sum is σ = 191116800. Its totient is φ = 30026304.

The previous prime is 82846433. The next prime is 82846493. The reversal of 82846460 is 6464828.

82846460 = T₁₅₁₅ + T₁₅₁₆ + ... + T₁₅₈₃.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4001 + ... + 13479.

It is an arithmetic number, because the mean of its divisors is an integer number (3981600).

Almost surely, 2^82846460 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 82846460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95558400).

82846460 is an abundant number, since it is smaller than the sum of its proper divisors (108270340).

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

82846460 is a wasteful number, since it uses less digits than its factorization.

82846460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 82846460 is about 9102.0030762465. The cubic root of 82846460 is about 435.9379242769.

The spelling of 82846460 in words is "eighty-two million, eight hundred forty-six thousand, four hundred sixty".