84660480 has 108 divisors (see below), whose sum is σ = 292956300. Its totient is φ = 22573056.

The previous prime is 84660479. The next prime is 84660481. The reversal of 84660480 is 8406648.

84660480 is a `hidden beast` number, since 8 + 46 + 604 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84660479) and next prime (84660481).

It can be written as a sum of positive squares in 2 ways, for example, as 44515584 + 40144896 = 6672^2 + 6336^2 .

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 (84660481) 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, 7846 + ... + 15194.

Almost surely, 2^84660480 is an apocalyptic number.

84660480 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 84660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146478150).

84660480 is an abundant number, since it is smaller than the sum of its proper divisors (208295820).

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

84660480 is a wasteful number, since it uses less digits than its factorization.

84660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7376 (or 7359 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 84660480 is about 9201.1129761567. The cubic root of 84660480 is about 439.0967697106.

The spelling of 84660480 in words is "eighty-four million, six hundred sixty thousand, four hundred eighty".