84090960 has 200 divisors, whose sum is σ = 307882080. Its totient is φ = 21212928.

The previous prime is 84090953. The next prime is 84090977. The reversal of 84090960 is 6909048.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122779 + ... + 123461.

Almost surely, 2^84090960 is an apocalyptic number.

84090960 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 84090960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941040).

84090960 is an abundant number, since it is smaller than the sum of its proper divisors (223791120).

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

84090960 is a wasteful number, since it uses less digits than its factorization.

84090960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 84090960 is about 9170.1123221038. The cubic root of 84090960 is about 438.1099367499.

Adding to 84090960 its sum of digits (36), we get a triangular number (84090996 = T₁₂₉₆₈).

The spelling of 84090960 in words is "eighty-four million, ninety thousand, nine hundred sixty".