9742432 has 96 divisors (see below), whose sum is σ = 23998464. Its totient is φ = 3801600.

The previous prime is 9742427. The next prime is 9742471. The reversal of 9742432 is 2342479.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 9742394 and 9742403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159682 + ... + 159742.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^9742432 is an apocalyptic number.

9742432 is a gapful number since it is divisible by the number (92) 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 9742432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999232).

9742432 is an abundant number, since it is smaller than the sum of its proper divisors (14256032).

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

9742432 is a wasteful number, since it uses less digits than its factorization.

9742432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 9742432 is about 3121.2869140789. The cubic root of 9742432 is about 213.5776454510.

The spelling of 9742432 in words is "nine million, seven hundred forty-two thousand, four hundred thirty-two".