126642416 has 80 divisors (see below), whose sum is σ = 268697088. Its totient is φ = 57657600.

The previous prime is 126642337. The next prime is 126642419. The reversal of 126642416 is 614246621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126642419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966671 + ... + 966801.

Almost surely, 2^126642416 is an apocalyptic number.

126642416 is a gapful number since it is divisible by the number (16) 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 126642416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134348544).

126642416 is an abundant number, since it is smaller than the sum of its proper divisors (142054672).

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

126642416 is a wasteful number, since it uses less digits than its factorization.

126642416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 126642416 is about 11253.5512617129. The cubic root of 126642416 is about 502.1803661860.

The spelling of 126642416 in words is "one hundred twenty-six million, six hundred forty-two thousand, four hundred sixteen".