126346416 has 80 divisors (see below), whose sum is σ = 383142144. Its totient is φ = 35119872.

The previous prime is 126346411. The next prime is 126346457. The reversal of 126346416 is 614643621.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (126346411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7351 + ... + 17513.

Almost surely, 2^126346416 is an apocalyptic number.

126346416 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 126346416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191571072).

126346416 is an abundant number, since it is smaller than the sum of its proper divisors (256795728).

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

126346416 is a wasteful number, since it uses less digits than its factorization.

126346416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218 (or 10212 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 126346416 is about 11240.3921639772. The cubic root of 126346416 is about 501.7888139904.

The spelling of 126346416 in words is "one hundred twenty-six million, three hundred forty-six thousand, four hundred sixteen".