82347440 has 80 divisors (see below), whose sum is σ = 223348800. Its totient is φ = 28224000.

The previous prime is 82347409. The next prime is 82347457. The reversal of 82347440 is 4474328.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×82347440² = 13562201749107200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82347397 and 82347406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25940 + ... + 28940.

It is an arithmetic number, because the mean of its divisors is an integer number (2791860).

Almost surely, 2^82347440 is an apocalyptic number.

82347440 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 82347440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111674400).

82347440 is an abundant number, since it is smaller than the sum of its proper divisors (141001360).

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

82347440 is a wasteful number, since it uses less digits than its factorization.

82347440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 82347440 is about 9074.5490246072. The cubic root of 82347440 is about 435.0608801919.

The spelling of 82347440 in words is "eighty-two million, three hundred forty-seven thousand, four hundred forty".