84821940 has 216 divisors, whose sum is σ = 306240480. Its totient is φ = 18942336.

The previous prime is 84821927. The next prime is 84821987. The reversal of 84821940 is 4912848.

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 = 84821895 and 84821904.

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 71 ways as a sum of consecutive naturals, for example, 520299 + ... + 520461.

It is an arithmetic number, because the mean of its divisors is an integer number (1417780).

Almost surely, 2^84821940 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 84821940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153120240).

84821940 is an abundant number, since it is smaller than the sum of its proper divisors (221418540).

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

84821940 is a wasteful number, since it uses less digits than its factorization.

84821940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 84821940 is about 9209.8827354098. The cubic root of 84821940 is about 439.3757331737.

The spelling of 84821940 in words is "eighty-four million, eight hundred twenty-one thousand, nine hundred forty".