84674560 has 48 divisors (see below), whose sum is σ = 203193900. Its totient is φ = 33865728.

The previous prime is 84674539. The next prime is 84674567. The reversal of 84674560 is 6547648.

It can be written as a sum of positive squares in 2 ways, for example, as 82011136 + 2663424 = 9056^2 + 1632^2 .

It is a super-2 number, since 2×84674560² = 14339562222387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (84674567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6106 + ... + 14374.

Almost surely, 2^84674560 is an apocalyptic number.

84674560 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 84674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101596950).

84674560 is an abundant number, since it is smaller than the sum of its proper divisors (118519340).

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

84674560 is an equidigital number, since it uses as much as digits as its factorization.

84674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8296 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 84674560 is about 9201.8780691770. The cubic root of 84674560 is about 439.1211106224.

The spelling of 84674560 in words is "eighty-four million, six hundred seventy-four thousand, five hundred sixty".