126893760 has 224 divisors, whose sum is σ = 481047552. Its totient is φ = 27709440.

The previous prime is 126893759. The next prime is 126893773. The reversal of 126893760 is 67398621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×126893760² = 32204052653875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154150 + ... + 154970.

Almost surely, 2^126893760 is an apocalyptic number.

126893760 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 126893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240523776).

126893760 is an abundant number, since it is smaller than the sum of its proper divisors (354153792).

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

126893760 is a wasteful number, since it uses less digits than its factorization.

126893760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 126893760 is about 11264.7130456128. The cubic root of 126893760 is about 502.5123682013.

The spelling of 126893760 in words is "one hundred twenty-six million, eight hundred ninety-three thousand, seven hundred sixty".