126106398 has 96 divisors (see below), whose sum is σ = 310239072. Its totient is φ = 36691200.

The previous prime is 126106381. The next prime is 126106399. The reversal of 126106398 is 893601621.

126106398 is a `hidden beast` number, since 1 + 2 + 6 + 10 + 639 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126106399) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640036 + ... + 640232.

It is an arithmetic number, because the mean of its divisors is an integer number (3231657).

Almost surely, 2^126106398 is an apocalyptic number.

126106398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126106398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155119536).

126106398 is an abundant number, since it is smaller than the sum of its proper divisors (184132674).

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

126106398 is a wasteful number, since it uses less digits than its factorization.

126106398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 126106398 is about 11229.7105038376. The cubic root of 126106398 is about 501.4708661957.

The spelling of 126106398 in words is "one hundred twenty-six million, one hundred six thousand, three hundred ninety-eight".