84994560 has 480 divisors, whose sum is σ = 367690752. Its totient is φ = 17694720.

The previous prime is 84994549. The next prime is 84994561. The reversal of 84994560 is 6549948.

It is a happy number.

84994560 is a `hidden beast` number, since 84 + 9 + 9 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84994561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741745 + ... + 2741775.

Almost surely, 2^84994560 is an apocalyptic number.

84994560 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 84994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183845376).

84994560 is an abundant number, since it is smaller than the sum of its proper divisors (282696192).

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

84994560 is a wasteful number, since it uses less digits than its factorization.

84994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

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

The square root of 84994560 is about 9219.2494271497. The cubic root of 84994560 is about 439.6735871124.

The spelling of 84994560 in words is "eighty-four million, nine hundred ninety-four thousand, five hundred sixty".