126617408 has 42 divisors (see below), whose sum is σ = 255279906. Its totient is φ = 62310144.

The previous prime is 126617383. The next prime is 126617417. The reversal of 126617408 is 804716621.

It can be written as a sum of positive squares in only one way, i.e., 78287104 + 48330304 = 8848^2 + 6952^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 399266 + ... + 399582.

It is an arithmetic number, because the mean of its divisors is an integer number (6078093).

Almost surely, 2^126617408 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 126617408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127639953).

126617408 is an abundant number, since it is smaller than the sum of its proper divisors (128662498).

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

126617408 is an frugal number, since it uses more digits than its factorization.

126617408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 126617408 is about 11252.4400909314. The cubic root of 126617408 is about 502.1473089273.

The spelling of 126617408 in words is "one hundred twenty-six million, six hundred seventeen thousand, four hundred eight".