84810960 has 360 divisors, whose sum is σ = 334525464. Its totient is φ = 19169280.

The previous prime is 84810953. The next prime is 84810961. The reversal of 84810960 is 6901848.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 59166864 + 25644096 = 7692^2 + 5064^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×84810960² = 14385797872243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84810961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2068540 + ... + 2068580.

Almost surely, 2^84810960 is an apocalyptic number.

84810960 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 84810960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167262732).

84810960 is an abundant number, since it is smaller than the sum of its proper divisors (249714504).

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

84810960 is a wasteful number, since it uses less digits than its factorization.

84810960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 84810960 is about 9209.2866173228. The cubic root of 84810960 is about 439.3567736383.

The spelling of 84810960 in words is "eighty-four million, eight hundred ten thousand, nine hundred sixty".