126268590 has 80 divisors (see below), whose sum is σ = 353732688. Its totient is φ = 28844928.

The previous prime is 126268577. The next prime is 126268603. The reversal of 126268590 is 95862621.

It is an interprime number because it is at equal distance from previous prime (126268577) and next prime (126268603).

It is a super-3 number, since 3×126268590³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71154 + ... + 72906.

Almost surely, 2^126268590 is an apocalyptic number.

126268590 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 126268590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176866344).

126268590 is an abundant number, since it is smaller than the sum of its proper divisors (227464098).

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

126268590 is an equidigital number, since it uses as much as digits as its factorization.

126268590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 126268590 is about 11236.9297408144. The cubic root of 126268590 is about 501.6857633497.

The spelling of 126268590 in words is "one hundred twenty-six million, two hundred sixty-eight thousand, five hundred ninety".