82501920 has 288 divisors, whose sum is σ = 305690112. Its totient is φ = 20207616.

The previous prime is 82501919. The next prime is 82501927. The reversal of 82501920 is 2910528.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82501927) 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 47 ways as a sum of consecutive naturals, for example, 1556614 + ... + 1556666.

It is an arithmetic number, because the mean of its divisors is an integer number (1061424).

Almost surely, 2^82501920 is an apocalyptic number.

82501920 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 82501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152845056).

82501920 is an abundant number, since it is smaller than the sum of its proper divisors (223188192).

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

82501920 is a wasteful number, since it uses less digits than its factorization.

82501920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 82501920 is about 9083.0567541990. The cubic root of 82501920 is about 435.3327616332.

The spelling of 82501920 in words is "eighty-two million, five hundred one thousand, nine hundred twenty".