82956240 has 180 divisors, whose sum is σ = 290638764. Its totient is φ = 21202944.

The previous prime is 82956233. The next prime is 82956281. The reversal of 82956240 is 4265928.

It is a happy number.

82956240 is a `hidden beast` number, since 8 + 29 + 5 + 624 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 576 + 82955664 = 24^2 + 9108^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82956195 and 82956204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 605452 + ... + 605588.

Almost surely, 2^82956240 is an apocalyptic number.

82956240 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 82956240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145319382).

82956240 is an abundant number, since it is smaller than the sum of its proper divisors (207682524).

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

82956240 is a wasteful number, since it uses less digits than its factorization.

82956240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 82956240 is about 9108.0316204985. The cubic root of 82956240 is about 436.1303933427.

It can be divided in two parts, 8295 and 6240, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 82956240 in words is "eighty-two million, nine hundred fifty-six thousand, two hundred forty".