82274940 has 240 divisors, whose sum is σ = 297601920. Its totient is φ = 18895680.

The previous prime is 82274897. The next prime is 82274947. The reversal of 82274940 is 4947228.

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 = 82274895 and 82274904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82274947) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4330251 + ... + 4330269.

It is an arithmetic number, because the mean of its divisors is an integer number (1240008).

Almost surely, 2^82274940 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 82274940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800960).

82274940 is an abundant number, since it is smaller than the sum of its proper divisors (215326980).

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

82274940 is a wasteful number, since it uses less digits than its factorization.

82274940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 82274940 is about 9070.5534561018. The cubic root of 82274940 is about 434.9331645235.

The spelling of 82274940 in words is "eighty-two million, two hundred seventy-four thousand, nine hundred forty".