126606480 has 640 divisors, whose sum is σ = 575963136. Its totient is φ = 22118400.

The previous prime is 126606479. The next prime is 126606523. The reversal of 126606480 is 84606621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4084065 + ... + 4084095.

Almost surely, 2^126606480 is an apocalyptic number.

126606480 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 126606480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287981568).

126606480 is an abundant number, since it is smaller than the sum of its proper divisors (449356656).

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

126606480 is a wasteful number, since it uses less digits than its factorization.

126606480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 126606480 is about 11251.9544968863. The cubic root of 126606480 is about 502.1328621942.

It can be divided in two parts, 126 and 606480, that added together give a palindrome (606606).

The spelling of 126606480 in words is "one hundred twenty-six million, six hundred six thousand, four hundred eighty".