82141920 has 288 divisors, whose sum is σ = 332579520. Its totient is φ = 18063360.

The previous prime is 82141907. The next prime is 82141951. The reversal of 82141920 is 2914128.

82141920 = T₂₁₄₉ + T₂₁₅₀ + ... + T₂₁₈₃.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292180 + ... + 292460.

It is an arithmetic number, because the mean of its divisors is an integer number (1154790).

Almost surely, 2^82141920 is an apocalyptic number.

82141920 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 82141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166289760).

82141920 is an abundant number, since it is smaller than the sum of its proper divisors (250437600).

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

82141920 is a wasteful number, since it uses less digits than its factorization.

82141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 82141920 is about 9063.2179715595. The cubic root of 82141920 is about 434.6986418488.

The spelling of 82141920 in words is "eighty-two million, one hundred forty-one thousand, nine hundred twenty".