82617920 has 168 divisors, whose sum is σ = 250179840. Its totient is φ = 25697280.

The previous prime is 82617919. The next prime is 82617949. The reversal of 82617920 is 2971628.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 172241 + ... + 172719.

Almost surely, 2^82617920 is an apocalyptic number.

82617920 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 82617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125089920).

82617920 is an abundant number, since it is smaller than the sum of its proper divisors (167561920).

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

82617920 is a wasteful number, since it uses less digits than its factorization.

82617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 82617920 is about 9089.4400267563. The cubic root of 82617920 is about 435.5366960844.

The spelling of 82617920 in words is "eighty-two million, six hundred seventeen thousand, nine hundred twenty".