126640000 has 80 divisors (see below), whose sum is σ = 315461520. Its totient is φ = 50624000.

The previous prime is 126639973. The next prime is 126640009. The reversal of 126640000 is 46621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 126640000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126640009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79209 + ... + 80791.

It is an arithmetic number, because the mean of its divisors is an integer number (3943269).

Almost surely, 2^126640000 is an apocalyptic number.

126640000 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 126640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157730760).

126640000 is an abundant number, since it is smaller than the sum of its proper divisors (188821520).

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

126640000 is an frugal number, since it uses more digits than its factorization.

126640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 126640000 is about 11253.4439173082. The cubic root of 126640000 is about 502.1771727444.

Adding to 126640000 its reverse (46621), we get a palindrome (126686621).

The spelling of 126640000 in words is "one hundred twenty-six million, six hundred forty thousand".