84788340 has 192 divisors, whose sum is σ = 298722816. Its totient is φ = 17491968.

The previous prime is 84788339. The next prime is 84788381. The reversal of 84788340 is 4388748.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 84788292 and 84788301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289234 + ... + 289526.

It is an arithmetic number, because the mean of its divisors is an integer number (1555848).

Almost surely, 2^84788340 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 84788340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149361408).

84788340 is an abundant number, since it is smaller than the sum of its proper divisors (213934476).

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

84788340 is a wasteful number, since it uses less digits than its factorization.

84788340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 84788340 is about 9208.0584272690. The cubic root of 84788340 is about 439.3177097646.

The spelling of 84788340 in words is "eighty-four million, seven hundred eighty-eight thousand, three hundred forty".