126661080 has 192 divisors, whose sum is σ = 476310240. Its totient is φ = 26707968.

The previous prime is 126661079. The next prime is 126661081. The reversal of 126661080 is 80166621.

It is an interprime number because it is at equal distance from previous prime (126661079) and next prime (126661081).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126661081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75612 + ... + 77268.

Almost surely, 2^126661080 is an apocalyptic number.

126661080 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 126661080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238155120).

126661080 is an abundant number, since it is smaller than the sum of its proper divisors (349649160).

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

126661080 is a wasteful number, since it uses less digits than its factorization.

126661080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 126661080 is about 11254.3804805062. The cubic root of 126661080 is about 502.2050346824.

The spelling of 126661080 in words is "one hundred twenty-six million, six hundred sixty-one thousand, eighty".