84220448 has 48 divisors (see below), whose sum is σ = 189083160. Its totient is φ = 36581376.

The previous prime is 84220447. The next prime is 84220453. The reversal of 84220448 is 84402248.

It can be written as a sum of positive squares in 4 ways, for example, as 63170704 + 21049744 = 7948^2 + 4588^2 .

It is a super-2 number, since 2×84220448² = 14186167722641408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (84220447) 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, 1118 + ... + 13026.

Almost surely, 2^84220448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84220448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94541580).

84220448 is an abundant number, since it is smaller than the sum of its proper divisors (104862712).

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

84220448 is a wasteful number, since it uses less digits than its factorization.

84220448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11949 (or 11941 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 84220448 is about 9177.1699341355. The cubic root of 84220448 is about 438.3346968815.

The spelling of 84220448 in words is "eighty-four million, two hundred twenty thousand, four hundred forty-eight".