84971040 has 384 divisors, whose sum is σ = 354170880. Its totient is φ = 16727040.

The previous prime is 84971027. The next prime is 84971077. The reversal of 84971040 is 4017948.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 84970992 and 84971010.

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, 4472151 + ... + 4472169.

It is an arithmetic number, because the mean of its divisors is an integer number (922320).

Almost surely, 2^84971040 is an apocalyptic number.

84971040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177085440).

84971040 is an abundant number, since it is smaller than the sum of its proper divisors (269199840).

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

84971040 is a wasteful number, since it uses less digits than its factorization.

84971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 84971040 is about 9217.9737469793. The cubic root of 84971040 is about 439.6330273527.

Adding to 84971040 its reverse (4017948), we get a palindrome (88988988).

The spelling of 84971040 in words is "eighty-four million, nine hundred seventy-one thousand, forty".