84036960 has 288 divisors, whose sum is σ = 343012320. Its totient is φ = 19160064.

The previous prime is 84036947. The next prime is 84036973. The reversal of 84036960 is 6963048.

It is an interprime number because it is at equal distance from previous prime (84036947) and next prime (84036973).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211482 + ... + 211878.

It is an arithmetic number, because the mean of its divisors is an integer number (1191015).

Almost surely, 2^84036960 is an apocalyptic number.

84036960 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 84036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171506160).

84036960 is an abundant number, since it is smaller than the sum of its proper divisors (258975360).

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

84036960 is a wasteful number, since it uses less digits than its factorization.

84036960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 84036960 is about 9167.1675014696. The cubic root of 84036960 is about 438.0161375176.

The spelling of 84036960 in words is "eighty-four million, thirty-six thousand, nine hundred sixty".