126662256 has 180 divisors, whose sum is σ = 427260600. Its totient is φ = 34884864.

The previous prime is 126662231. The next prime is 126662267. The reversal of 126662256 is 652266621.

126662256 = 1974² + 1975² + ... + 2005².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126662256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204315 + ... + 204933.

It is an arithmetic number, because the mean of its divisors is an integer number (2373670).

Almost surely, 2^126662256 is an apocalyptic number.

126662256 is a gapful number since it is divisible by the number (16) 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 126662256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213630300).

126662256 is an abundant number, since it is smaller than the sum of its proper divisors (300598344).

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

126662256 is a wasteful number, since it uses less digits than its factorization.

126662256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 660 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 126662256 is about 11254.4327267082. The cubic root of 126662256 is about 502.2065889386.

The spelling of 126662256 in words is "one hundred twenty-six million, six hundred sixty-two thousand, two hundred fifty-six".