84873040 has 80 divisors (see below), whose sum is σ = 232842240. Its totient is φ = 28154880.

The previous prime is 84873037. The next prime is 84873043. The reversal of 84873040 is 4037848.

It is an interprime number because it is at equal distance from previous prime (84873037) and next prime (84873043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 84872987 and 84873005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84873043) 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, 14916 + ... + 19804.

It is an arithmetic number, because the mean of its divisors is an integer number (2910528).

Almost surely, 2^84873040 is an apocalyptic number.

84873040 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 84873040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116421120).

84873040 is an abundant number, since it is smaller than the sum of its proper divisors (147969200).

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

84873040 is a wasteful number, since it uses less digits than its factorization.

84873040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 84873040 is about 9212.6565115606. The cubic root of 84873040 is about 439.4639477434.

The spelling of 84873040 in words is "eighty-four million, eight hundred seventy-three thousand, forty".