82224480 has 96 divisors (see below), whose sum is σ = 278951904. Its totient is φ = 20238336.

The previous prime is 82224473. The next prime is 82224497. The reversal of 82224480 is 8442228.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×82224480² = 13521730222540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349 + ... + 12828.

It is an arithmetic number, because the mean of its divisors is an integer number (2905749).

Almost surely, 2^82224480 is an apocalyptic number.

82224480 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 82224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139475952).

82224480 is an abundant number, since it is smaller than the sum of its proper divisors (196727424).

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

82224480 is a wasteful number, since it uses less digits than its factorization.

82224480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13208 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 82224480 is about 9067.7715013117. The cubic root of 82224480 is about 434.8442301298.

The spelling of 82224480 in words is "eighty-two million, two hundred twenty-four thousand, four hundred eighty".