82193920 has 80 divisors (see below), whose sum is σ = 199705968. Its totient is φ = 32440320.

The previous prime is 82193899. The next prime is 82193921. The reversal of 82193920 is 2939128.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82193921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248155 + ... + 248485.

Almost surely, 2^82193920 is an apocalyptic number.

82193920 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 82193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852984).

82193920 is an abundant number, since it is smaller than the sum of its proper divisors (117512048).

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

82193920 is an equidigital number, since it uses as much as digits as its factorization.

82193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 82193920 is about 9066.0862559320. The cubic root of 82193920 is about 434.7903512592.

The spelling of 82193920 in words is "eighty-two million, one hundred ninety-three thousand, nine hundred twenty".