84330960 has 240 divisors, whose sum is σ = 311444352. Its totient is φ = 18816000.

The previous prime is 84330947. The next prime is 84330989. The reversal of 84330960 is 6903348.

84330960 = T₁₆₀ + T₁₆₁ + ... + T₇₉₈.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×84330960² = 14223421629043200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 834910 + ... + 835010.

Almost surely, 2^84330960 is an apocalyptic number.

84330960 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 84330960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155722176).

84330960 is an abundant number, since it is smaller than the sum of its proper divisors (227113392).

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

84330960 is a wasteful number, since it uses less digits than its factorization.

84330960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 84330960 is about 9183.1889885813. The cubic root of 84330960 is about 438.5263370861.

The spelling of 84330960 in words is "eighty-four million, three hundred thirty thousand, nine hundred sixty".