84930480 has 60 divisors (see below), whose sum is σ = 285227280. Its totient is φ = 22647936.

The previous prime is 84930479. The next prime is 84930481. The reversal of 84930480 is 8403948.

It is an interprime number because it is at equal distance from previous prime (84930479) and next prime (84930481).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84930481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58260 + ... + 59699.

It is an arithmetic number, because the mean of its divisors is an integer number (4753788).

Almost surely, 2^84930480 is an apocalyptic number.

84930480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84930480 is an abundant number, since it is smaller than the sum of its proper divisors (200296800).

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

84930480 is a wasteful number, since it uses less digits than its factorization.

84930480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117978 (or 117969 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 84930480 is about 9215.7734347151. The cubic root of 84930480 is about 439.5630648746.

It can be divided in two parts, 849 and 30480, that added together give a square (31329 = 177²).

The spelling of 84930480 in words is "eighty-four million, nine hundred thirty thousand, four hundred eighty".