126690480 has 480 divisors, whose sum is σ = 541632000. Its totient is φ = 27433728.

The previous prime is 126690457. The next prime is 126690481. The reversal of 126690480 is 84096621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126690481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6667911 + ... + 6667929.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 2^126690480 is an apocalyptic number.

126690480 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 126690480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270816000).

126690480 is an abundant number, since it is smaller than the sum of its proper divisors (414941520).

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

126690480 is an equidigital number, since it uses as much as digits as its factorization.

126690480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 126690480 is about 11255.6865628002. The cubic root of 126690480 is about 502.2438882007.

The spelling of 126690480 in words is "one hundred twenty-six million, six hundred ninety thousand, four hundred eighty".