126206640 has 320 divisors, whose sum is σ = 527109120. Its totient is φ = 27095040.

The previous prime is 126206629. The next prime is 126206653. The reversal of 126206640 is 46602621.

It is a happy number.

126206640 is a `hidden beast` number, since 12 + 6 + 2 + 0 + 6 + 640 = 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, 256795 + ... + 257285.

It is an arithmetic number, because the mean of its divisors is an integer number (1647216).

Almost surely, 2^126206640 is an apocalyptic number.

126206640 is a gapful number since it is divisible by the number (10) 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 126206640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263554560).

126206640 is an abundant number, since it is smaller than the sum of its proper divisors (400902480).

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

126206640 is a wasteful number, since it uses less digits than its factorization.

126206640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 126206640 is about 11234.1728667490. The cubic root of 126206640 is about 501.6037041003.

The spelling of 126206640 in words is "one hundred twenty-six million, two hundred six thousand, six hundred forty".