84783240 has 128 divisors (see below), whose sum is σ = 292464000. Its totient is φ = 21821184.

The previous prime is 84783227. The next prime is 84783241. The reversal of 84783240 is 4238748.

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 = 84783195 and 84783204.

It is not an unprimeable number, because it can be changed into a prime (84783241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29967 + ... + 32673.

It is an arithmetic number, because the mean of its divisors is an integer number (2284875).

Almost surely, 2^84783240 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 84783240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146232000).

84783240 is an abundant number, since it is smaller than the sum of its proper divisors (207680760).

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

84783240 is a wasteful number, since it uses less digits than its factorization.

84783240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 84783240 is about 9207.7814917601. The cubic root of 84783240 is about 439.3089013001.

The spelling of 84783240 in words is "eighty-four million, seven hundred eighty-three thousand, two hundred forty".