126236880 has 600 divisors, whose sum is σ = 574713216. Its totient is φ = 25090560.

The previous prime is 126236879. The next prime is 126236897. The reversal of 126236880 is 88632621.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5488549 + ... + 5488571.

Almost surely, 2^126236880 is an apocalyptic number.

126236880 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 126236880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287356608).

126236880 is an abundant number, since it is smaller than the sum of its proper divisors (448476336).

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

126236880 is a wasteful number, since it uses less digits than its factorization.

126236880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 126236880 is about 11235.5186796160. The cubic root of 126236880 is about 501.6437634946.

It can be divided in two parts, 12623 and 6880, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 126236880 in words is "one hundred twenty-six million, two hundred thirty-six thousand, eight hundred eighty".