84805740 has 144 divisors (see below), whose sum is σ = 274266720. Its totient is φ = 21150720.

The previous prime is 84805733. The next prime is 84805751. The reversal of 84805740 is 4750848.

84805740 is a `hidden beast` number, since 8 + 4 + 80 + 574 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 84805695 and 84805704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468450 + ... + 468630.

It is an arithmetic number, because the mean of its divisors is an integer number (1904630).

Almost surely, 2^84805740 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 84805740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137133360).

84805740 is an abundant number, since it is smaller than the sum of its proper divisors (189460980).

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

84805740 is a wasteful number, since it uses less digits than its factorization.

84805740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 347 counting only the distinct ones).

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

The square root of 84805740 is about 9209.0032033874. The cubic root of 84805740 is about 439.3477595148.

Adding to 84805740 its sum of digits (36), we get a triangular number (84805776 = T₁₃₀₂₃).

The spelling of 84805740 in words is "eighty-four million, eight hundred five thousand, seven hundred forty".