126491904 has 432 divisors, whose sum is σ = 489775104. Its totient is φ = 30412800.

The previous prime is 126491903. The next prime is 126491923. The reversal of 126491904 is 409194621.

It is a happy number.

126491904 is a `hidden beast` number, since 1 + 2 + 649 + 1 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126491903) 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, 4080369 + ... + 4080399.

Almost surely, 2^126491904 is an apocalyptic number.

126491904 is a gapful number since it is divisible by the number (14) 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 126491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244887552).

126491904 is an abundant number, since it is smaller than the sum of its proper divisors (363283200).

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

126491904 is a wasteful number, since it uses less digits than its factorization.

126491904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

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

The square root of 126491904 is about 11246.8619623431. The cubic root of 126491904 is about 501.9813435181.

The spelling of 126491904 in words is "one hundred twenty-six million, four hundred ninety-one thousand, nine hundred four".