84485700 has 288 divisors, whose sum is σ = 306230400. Its totient is φ = 19837440.

The previous prime is 84485677. The next prime is 84485717. The reversal of 84485700 is 758448.

84485700 is a `hidden beast` number, since 84 + 4 + 8 + 570 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1017859 + ... + 1017941.

It is an arithmetic number, because the mean of its divisors is an integer number (1063300).

Almost surely, 2^84485700 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 84485700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115200).

84485700 is an abundant number, since it is smaller than the sum of its proper divisors (221744700).

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

84485700 is a wasteful number, since it uses less digits than its factorization.

84485700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 84485700 is about 9191.6103050554. The cubic root of 84485700 is about 438.7943924693.

The spelling of 84485700 in words is "eighty-four million, four hundred eighty-five thousand, seven hundred".