82959240 has 256 divisors, whose sum is σ = 313528320. Its totient is φ = 17095680.

The previous prime is 82959221. The next prime is 82959241. The reversal of 82959240 is 4295928.

82959240 = T₂₃₁ + T₂₃₂ + ... + T₇₉₈.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (82959241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 775267 + ... + 775373.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 2^82959240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82959240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

82959240 is an abundant number, since it is smaller than the sum of its proper divisors (230569080).

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

82959240 is a wasteful number, since it uses less digits than its factorization.

82959240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 82959240 is about 9108.1963088199. The cubic root of 82959240 is about 436.1356506342.

The spelling of 82959240 in words is "eighty-two million, nine hundred fifty-nine thousand, two hundred forty".