84934980 has 240 divisors, whose sum is σ = 297398640. Its totient is φ = 20155392.

The previous prime is 84934973. The next prime is 84934987. The reversal of 84934980 is 8943948.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84934973) and next prime (84934987).

It can be written as a sum of positive squares in 8 ways, for example, as 331776 + 84603204 = 576^2 + 9198^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84934987) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 779166 + ... + 779274.

It is an arithmetic number, because the mean of its divisors is an integer number (1239161).

Almost surely, 2^84934980 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 84934980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148699320).

84934980 is an abundant number, since it is smaller than the sum of its proper divisors (212463660).

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

84934980 is a wasteful number, since it uses less digits than its factorization.

84934980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 84934980 is about 9216.0175781082. The cubic root of 84934980 is about 439.5708280823.

The spelling of 84934980 in words is "eighty-four million, nine hundred thirty-four thousand, nine hundred eighty".