126616410 has 24 divisors (see below), whose sum is σ = 329202900. Its totient is φ = 33764352.

The previous prime is 126616393. The next prime is 126616411. The reversal of 126616410 is 14616621.

126616410 is a `hidden beast` number, since 1 + 2 + 6 + 616 + 41 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103489929 + 23126481 = 10173^2 + 4809^2 .

It is not an unprimeable number, because it can be changed into a prime (126616411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 703335 + ... + 703514.

Almost surely, 2^126616410 is an apocalyptic number.

126616410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126616410 is an abundant number, since it is smaller than the sum of its proper divisors (202586490).

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

126616410 is a wasteful number, since it uses less digits than its factorization.

126616410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406862 (or 1406859 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 126616410 is about 11252.3957449069. The cubic root of 126616410 is about 502.1459896133.

The spelling of 126616410 in words is "one hundred twenty-six million, six hundred sixteen thousand, four hundred ten".