126010416 has 80 divisors (see below), whose sum is σ = 375087104. Its totient is φ = 35707392.

The previous prime is 126010411. The next prime is 126010421. The reversal of 126010416 is 614010621.

It is an interprime number because it is at equal distance from previous prime (126010411) and next prime (126010421).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 126010392 and 126010401.

It is not an unprimeable number, because it can be changed into a prime (126010411) 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, 41196 + ... + 44148.

Almost surely, 2^126010416 is an apocalyptic number.

126010416 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 126010416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187543552).

126010416 is an abundant number, since it is smaller than the sum of its proper divisors (249076688).

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

126010416 is a wasteful number, since it uses less digits than its factorization.

126010416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 126010416 is about 11225.4361162496. The cubic root of 126010416 is about 501.3436075368.

The spelling of 126010416 in words is "one hundred twenty-six million, ten thousand, four hundred sixteen".