82945520 has 80 divisors (see below), whose sum is σ = 223527360. Its totient is φ = 28035072.

The previous prime is 82945517. The next prime is 82945523. The reversal of 82945520 is 2554928.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82945517) and next prime (82945523).

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82945523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39866 + ... + 41894.

It is an arithmetic number, because the mean of its divisors is an integer number (2794092).

Almost surely, 2^82945520 is an apocalyptic number.

82945520 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 82945520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111763680).

82945520 is an abundant number, since it is smaller than the sum of its proper divisors (140581840).

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

82945520 is a wasteful number, since it uses less digits than its factorization.

82945520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 82945520 is about 9107.4431098964. The cubic root of 82945520 is about 436.1116062520. Note that the first 3 decimals are identical.

The spelling of 82945520 in words is "eighty-two million, nine hundred forty-five thousand, five hundred twenty".