126076590 has 96 divisors (see below), whose sum is σ = 365433120. Its totient is φ = 29970432.

The previous prime is 126076549. The next prime is 126076603. The reversal of 126076590 is 95670621.

126076590 = 1328² + 1329² + ... + 1395².

126076590 is a `hidden beast` number, since 1 + 2 + 60 + 7 + 6 + 590 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26902 + ... + 31238.

It is an arithmetic number, because the mean of its divisors is an integer number (3806595).

Almost surely, 2^126076590 is an apocalyptic number.

126076590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126076590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182716560).

126076590 is an abundant number, since it is smaller than the sum of its proper divisors (239356530).

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

126076590 is a wasteful number, since it uses less digits than its factorization.

126076590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 126076590 is about 11228.3832317925. The cubic root of 126076590 is about 501.4313518869.

The spelling of 126076590 in words is "one hundred twenty-six million, seventy-six thousand, five hundred ninety".