82126440 has 256 divisors, whose sum is σ = 309657600. Its totient is φ = 19180800.

The previous prime is 82126427. The next prime is 82126469. The reversal of 82126440 is 4462128.

82126440 is a `hidden beast` number, since 8 + 2 + 12 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368169 + ... + 368391.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^82126440 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 82126440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

82126440 is an abundant number, since it is smaller than the sum of its proper divisors (227531160).

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

82126440 is a wasteful number, since it uses less digits than its factorization.

82126440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82126440 is about 9062.3639300130. The cubic root of 82126440 is about 434.6713331870.

Adding to 82126440 its reverse (4462128), we get a palindrome (86588568).

It can be divided in two parts, 821 and 26440, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 82126440 in words is "eighty-two million, one hundred twenty-six thousand, four hundred forty".