84456960 has 160 divisors (see below), whose sum is σ = 308765952. Its totient is φ = 19292160.

The previous prime is 84456959. The next prime is 84456971. The reversal of 84456960 is 6965448.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52975 + ... + 54545.

Almost surely, 2^84456960 is an apocalyptic number.

84456960 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 84456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154382976).

84456960 is an abundant number, since it is smaller than the sum of its proper divisors (224308992).

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

84456960 is a wasteful number, since it uses less digits than its factorization.

84456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 84456960 is about 9190.0467898700. The cubic root of 84456960 is about 438.7446310655.

The spelling of 84456960 in words is "eighty-four million, four hundred fifty-six thousand, nine hundred sixty".