126667520 has 144 divisors (see below), whose sum is σ = 353595648. Its totient is φ = 42577920.

The previous prime is 126667517. The next prime is 126667523. The reversal of 126667520 is 25766621.

It is an interprime number because it is at equal distance from previous prime (126667517) and next prime (126667523).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (126667523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 600215 + ... + 600425.

Almost surely, 2^126667520 is an apocalyptic number.

126667520 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 126667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176797824).

126667520 is an abundant number, since it is smaller than the sum of its proper divisors (226928128).

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

126667520 is an equidigital number, since it uses as much as digits as its factorization.

126667520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 126667520 is about 11254.6665876871. Note that the first 3 decimals coincide. The cubic root of 126667520 is about 502.2135459673.

It can be divided in two parts, 1266 and 67520, that added together give a palindrome (68786).

The spelling of 126667520 in words is "one hundred twenty-six million, six hundred sixty-seven thousand, five hundred twenty".