84954870 has 384 divisors, whose sum is σ = 317011968. Its totient is φ = 15206400.

The previous prime is 84954851. The next prime is 84954887. The reversal of 84954870 is 7845948.

84954870 is a `hidden beast` number, since 84 + 95 + 487 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 2072050 + ... + 2072090.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^84954870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84954870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

84954870 is an abundant number, since it is smaller than the sum of its proper divisors (232057098).

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

84954870 is a wasteful number, since it uses less digits than its factorization.

84954870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 84954870 is about 9217.0966144443. The cubic root of 84954870 is about 439.6051381760.

The spelling of 84954870 in words is "eighty-four million, nine hundred fifty-four thousand, eight hundred seventy".