82453920 has 96 divisors (see below), whose sum is σ = 273430080. Its totient is φ = 20828160.

The previous prime is 82453913. The next prime is 82453937. The reversal of 82453920 is 2935428.

It is a happy number.

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

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, 4600 + ... + 13640.

It is an arithmetic number, because the mean of its divisors is an integer number (2848230).

Almost surely, 2^82453920 is an apocalyptic number.

82453920 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 82453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136715040).

82453920 is an abundant number, since it is smaller than the sum of its proper divisors (190976160).

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

82453920 is a wasteful number, since it uses less digits than its factorization.

82453920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 82453920 is about 9080.4140874742. The cubic root of 82453920 is about 435.2483190476.

The spelling of 82453920 in words is "eighty-two million, four hundred fifty-three thousand, nine hundred twenty".