82836240 has 160 divisors (see below), whose sum is σ = 276410880. Its totient is φ = 20447232.

The previous prime is 82836199. The next prime is 82836253. The reversal of 82836240 is 4263828.

82836240 = T₂₉₁ + T₂₉₂ + ... + T₈₀₄.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322192 + ... + 322448.

It is an arithmetic number, because the mean of its divisors is an integer number (1727568).

Almost surely, 2^82836240 is an apocalyptic number.

82836240 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 82836240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138205440).

82836240 is an abundant number, since it is smaller than the sum of its proper divisors (193574640).

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

82836240 is a wasteful number, since it uses less digits than its factorization.

82836240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 82836240 is about 9101.4416440474. The cubic root of 82836240 is about 435.9199976658.

The spelling of 82836240 in words is "eighty-two million, eight hundred thirty-six thousand, two hundred forty".