84628460 has 48 divisors (see below), whose sum is σ = 205583616. Its totient is φ = 28661952.

The previous prime is 84628447. The next prime is 84628463. The reversal of 84628460 is 6482648.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (84628463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7979 + ... + 15261.

It is an arithmetic number, because the mean of its divisors is an integer number (4282992).

Almost surely, 2^84628460 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 84628460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102791808).

84628460 is an abundant number, since it is smaller than the sum of its proper divisors (120955156).

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

84628460 is a wasteful number, since it uses less digits than its factorization.

84628460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382 (or 7380 counting only the distinct ones).

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

The square root of 84628460 is about 9199.3728047079. The cubic root of 84628460 is about 439.0414048324.

The spelling of 84628460 in words is "eighty-four million, six hundred twenty-eight thousand, four hundred sixty".