9429120 has 96 divisors (see below), whose sum is σ = 32579820. Its totient is φ = 2512896.

The previous prime is 9429113. The next prime is 9429127. The reversal of 9429120 is 219249.

It is an interprime number because it is at equal distance from previous prime (9429113) and next prime (9429127).

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 1272384 = 2856^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9429127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4942 + ... + 6578.

Almost surely, 2^9429120 is an apocalyptic number.

9429120 is a gapful number since it is divisible by the number (90) 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 9429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16289910).

9429120 is an abundant number, since it is smaller than the sum of its proper divisors (23150700).

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

9429120 is a wasteful number, since it uses less digits than its factorization.

9429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9429120 is about 3070.6872194999. The cubic root of 9429120 is about 211.2631353946.

The spelling of 9429120 in words is "nine million, four hundred twenty-nine thousand, one hundred twenty".