126789432 has 256 divisors, whose sum is σ = 436838400. Its totient is φ = 29652480.

The previous prime is 126789419. The next prime is 126789433. The reversal of 126789432 is 234987621.

It is a super-3 number, since 3×126789432³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126789433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807498 + ... + 807654.

It is an arithmetic number, because the mean of its divisors is an integer number (1706400).

Almost surely, 2^126789432 is an apocalyptic number.

126789432 is a gapful number since it is divisible by the number (12) 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 126789432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218419200).

126789432 is an abundant number, since it is smaller than the sum of its proper divisors (310048968).

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

126789432 is a wasteful number, since it uses less digits than its factorization.

126789432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 126789432 is about 11260.0813496173. The cubic root of 126789432 is about 502.3746138977.

The spelling of 126789432 in words is "one hundred twenty-six million, seven hundred eighty-nine thousand, four hundred thirty-two".