84495960 has 96 divisors (see below), whose sum is σ = 284815440. Its totient is φ = 22529664.

The previous prime is 84495949. The next prime is 84495973. The reversal of 84495960 is 6959448.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 5374 + ... + 14066.

Almost surely, 2^84495960 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 84495960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142407720).

84495960 is an abundant number, since it is smaller than the sum of its proper divisors (200319480).

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

84495960 is a wasteful number, since it uses less digits than its factorization.

84495960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 84495960 is about 9192.1684057680. The cubic root of 84495960 is about 438.8121542453.

The spelling of 84495960 in words is "eighty-four million, four hundred ninety-five thousand, nine hundred sixty".