126631416 has 64 divisors (see below), whose sum is σ = 325775520. Its totient is φ = 41000960.

The previous prime is 126631369. The next prime is 126631423. The reversal of 126631416 is 614136621.

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 15 ways as a sum of consecutive naturals, for example, 143296 + ... + 144176.

Almost surely, 2^126631416 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 126631416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162887760).

126631416 is an abundant number, since it is smaller than the sum of its proper divisors (199144104).

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

126631416 is a wasteful number, since it uses less digits than its factorization.

126631416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1052 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 126631416 is about 11253.0625164886. The cubic root of 126631416 is about 502.1658261813.

The spelling of 126631416 in words is "one hundred twenty-six million, six hundred thirty-one thousand, four hundred sixteen".