126431760 has 240 divisors, whose sum is σ = 491593536. Its totient is φ = 26643456.

The previous prime is 126431743. The next prime is 126431777. The reversal of 126431760 is 67134621.

It is an interprime number because it is at equal distance from previous prime (126431743) and next prime (126431777).

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 152467 + ... + 153293.

Almost surely, 2^126431760 is an apocalyptic number.

126431760 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 126431760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245796768).

126431760 is an abundant number, since it is smaller than the sum of its proper divisors (365161776).

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

126431760 is a wasteful number, since it uses less digits than its factorization.

126431760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 126431760 is about 11244.1878319423. The cubic root of 126431760 is about 501.9017706988.

The spelling of 126431760 in words is "one hundred twenty-six million, four hundred thirty-one thousand, seven hundred sixty".