84447360 has 224 divisors, whose sum is σ = 304356780. Its totient is φ = 22394880.

The previous prime is 84447353. The next prime is 84447371. The reversal of 84447360 is 6374448.

It can be written as a sum of positive squares in 2 ways, for example, as 70963776 + 13483584 = 8424^2 + 3672^2 .

It is a super-2 number, since 2×84447360² = 14262713221939200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466470 + ... + 466650.

Almost surely, 2^84447360 is an apocalyptic number.

84447360 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 84447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152178390).

84447360 is an abundant number, since it is smaller than the sum of its proper divisors (219909420).

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

84447360 is an equidigital number, since it uses as much as digits as its factorization.

84447360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 84447360 is about 9189.5244708309. The cubic root of 84447360 is about 438.7280067871.

The spelling of 84447360 in words is "eighty-four million, four hundred forty-seven thousand, three hundred sixty".