84900480 has 128 divisors (see below), whose sum is σ = 309329280. Its totient is φ = 19402752.

The previous prime is 84900479. The next prime is 84900481. The reversal of 84900480 is 8400948.

It is an interprime number because it is at equal distance from previous prime (84900479) and next prime (84900481).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (84900481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10282 + ... + 16598.

It is an arithmetic number, because the mean of its divisors is an integer number (2416635).

Almost surely, 2^84900480 is an apocalyptic number.

84900480 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 84900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154664640).

84900480 is an abundant number, since it is smaller than the sum of its proper divisors (224428800).

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

84900480 is a wasteful number, since it uses less digits than its factorization.

84900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6346 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 84900480 is about 9214.1456467759. The cubic root of 84900480 is about 439.5113031478.

The spelling of 84900480 in words is "eighty-four million, nine hundred thousand, four hundred eighty".