84435280 has 40 divisors (see below), whose sum is σ = 198237312. Its totient is φ = 33442944.

The previous prime is 84435251. The next prime is 84435287. The reversal of 84435280 is 8253448.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84435287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3117 + ... + 13363.

Almost surely, 2^84435280 is an apocalyptic number.

84435280 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 84435280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99118656).

84435280 is an abundant number, since it is smaller than the sum of its proper divisors (113802032).

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

84435280 is a wasteful number, since it uses less digits than its factorization.

84435280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10363 (or 10357 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 84435280 is about 9188.8671771878. The cubic root of 84435280 is about 438.7070861132.

The spelling of 84435280 in words is "eighty-four million, four hundred thirty-five thousand, two hundred eighty".