84067560 has 96 divisors (see below), whose sum is σ = 274496040. Its totient is φ = 22313472.

The previous prime is 84067559. The next prime is 84067573. The reversal of 84067560 is 6576048.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 80892036 + 3175524 = 8994^2 + 1782^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105082 + ... + 105878.

Almost surely, 2^84067560 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 84067560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137248020).

84067560 is an abundant number, since it is smaller than the sum of its proper divisors (190428480).

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

84067560 is a wasteful number, since it uses less digits than its factorization.

84067560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 84067560 is about 9168.8363492866. The cubic root of 84067560 is about 438.0692953477.

The spelling of 84067560 in words is "eighty-four million, sixty-seven thousand, five hundred sixty".