126590772 has 96 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 30942720.

The previous prime is 126590759. The next prime is 126590773. The reversal of 126590772 is 277095621.

It is a self number, because there is not a number n which added to its sum of digits gives 126590772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126590773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11679 + ... + 19737.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^126590772 is an apocalyptic number.

126590772 is a gapful number since it is divisible by the number (12) 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 126590772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

126590772 is an abundant number, since it is smaller than the sum of its proper divisors (263384268).

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

126590772 is a wasteful number, since it uses less digits than its factorization.

126590772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8101 (or 8099 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 126590772 is about 11251.2564631689. The cubic root of 126590772 is about 502.1120948812.

The spelling of 126590772 in words is "one hundred twenty-six million, five hundred ninety thousand, seven hundred seventy-two".