82348720 has 20 divisors (see below), whose sum is σ = 191460960. Its totient is φ = 32939456.

The previous prime is 82348709. The next prime is 82348727. The reversal of 82348720 is 2784328.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (82348727) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 514600 + ... + 514759.

It is an arithmetic number, because the mean of its divisors is an integer number (9573048).

Almost surely, 2^82348720 is an apocalyptic number.

82348720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82348720 is an abundant number, since it is smaller than the sum of its proper divisors (109112240).

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

82348720 is a wasteful number, since it uses less digits than its factorization.

82348720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029372 (or 1029366 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 82348720 is about 9074.6195512539. The cubic root of 82348720 is about 435.0631343605.

The spelling of 82348720 in words is "eighty-two million, three hundred forty-eight thousand, seven hundred twenty".