126614664 has 192 divisors, whose sum is σ = 402554880. Its totient is φ = 36936000.

The previous prime is 126614659. The next prime is 126614671. The reversal of 126614664 is 466416621.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662809 + ... + 662999.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 2^126614664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126614664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

126614664 is an abundant number, since it is smaller than the sum of its proper divisors (275940216).

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

126614664 is a wasteful number, since it uses less digits than its factorization.

126614664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 126614664 is about 11252.3181611613. The cubic root of 126614664 is about 502.1436814583.

The spelling of 126614664 in words is "one hundred twenty-six million, six hundred fourteen thousand, six hundred sixty-four".