84971460 has 96 divisors (see below), whose sum is σ = 273208320. Its totient is φ = 19329408.

The previous prime is 84971459. The next prime is 84971461. The reversal of 84971460 is 6417948.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84971459) and next prime (84971461).

It is not an unprimeable number, because it can be changed into a prime (84971461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128611 + ... + 129269.

It is an arithmetic number, because the mean of its divisors is an integer number (2845920).

Almost surely, 2^84971460 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 84971460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136604160).

84971460 is an abundant number, since it is smaller than the sum of its proper divisors (188236860).

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

84971460 is a wasteful number, since it uses less digits than its factorization.

84971460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 84971460 is about 9217.9965285305. The cubic root of 84971460 is about 439.6337516997.

The spelling of 84971460 in words is "eighty-four million, nine hundred seventy-one thousand, four hundred sixty".