84953020 has 48 divisors (see below), whose sum is σ = 186778368. Its totient is φ = 32417280.

The previous prime is 84952997. The next prime is 84953021. The reversal of 84953020 is 2035948.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84953021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44322 + ... + 46198.

It is an arithmetic number, because the mean of its divisors is an integer number (3891216).

Almost surely, 2^84953020 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 84953020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93389184).

84953020 is an abundant number, since it is smaller than the sum of its proper divisors (101825348).

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

84953020 is a wasteful number, since it uses less digits than its factorization.

84953020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 84953020 is about 9216.9962569158. The cubic root of 84953020 is about 439.6019471664.

Adding to 84953020 its reverse (2035948), we get a palindrome (86988968).

The spelling of 84953020 in words is "eighty-four million, nine hundred fifty-three thousand, twenty".