82818240 has 56 divisors (see below), whose sum is σ = 262950960. Its totient is φ = 22084608.

The previous prime is 82818233. The next prime is 82818257. The reversal of 82818240 is 4281828.

82818240 = T₁₈₉₆ + T₁₈₉₇ + ... + T₁₉₄₀.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42175 + ... + 44094.

Almost surely, 2^82818240 is an apocalyptic number.

82818240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82818240 is an abundant number, since it is smaller than the sum of its proper divisors (180132720).

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

82818240 is a wasteful number, since it uses less digits than its factorization.

82818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86289 (or 86279 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 82818240 is about 9100.4527359907. The cubic root of 82818240 is about 435.8884207925. Note that the first 3 decimals are identical.

The spelling of 82818240 in words is "eighty-two million, eight hundred eighteen thousand, two hundred forty".