80126640 has 240 divisors, whose sum is σ = 299909376. Its totient is φ = 19008000.

The previous prime is 80126621. The next prime is 80126647. The reversal of 80126640 is 4662108.

80126640 is a `hidden beast` number, since 8 + 0 + 12 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (80126647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530565 + ... + 530715.

Almost surely, 2^80126640 is an apocalyptic number.

80126640 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 80126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149954688).

80126640 is an abundant number, since it is smaller than the sum of its proper divisors (219782736).

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

80126640 is a wasteful number, since it uses less digits than its factorization.

80126640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 80126640 is about 8951.3485017622. The cubic root of 80126640 is about 431.1141828133.

Adding to 80126640 its reverse (4662108), we get a palindrome (84788748).

The spelling of 80126640 in words is "eighty million, one hundred twenty-six thousand, six hundred forty".