126061440 has 64 divisors (see below), whose sum is σ = 401826960. Its totient is φ = 33615872.

The previous prime is 126061427. The next prime is 126061471. The reversal of 126061440 is 44160621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 126061440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30909 + ... + 34748.

Almost surely, 2^126061440 is an apocalyptic number.

126061440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126061440 is an abundant number, since it is smaller than the sum of its proper divisors (275765520).

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

126061440 is an equidigital number, since it uses as much as digits as its factorization.

126061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65679 (or 65667 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 126061440 is about 11227.7085818968. The cubic root of 126061440 is about 501.4112662408.

The spelling of 126061440 in words is "one hundred twenty-six million, sixty-one thousand, four hundred forty".