9049680 has 60 divisors (see below), whose sum is σ = 30394260. Its totient is φ = 2413056.

The previous prime is 9049679. The next prime is 9049699. The reversal of 9049680 is 869409.

9049680 is a `hidden beast` number, since 90 + 496 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6906384 + 2143296 = 2628^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5565 + ... + 7004.

It is an arithmetic number, because the mean of its divisors is an integer number (506571).

Almost surely, 2^9049680 is an apocalyptic number.

9049680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9049680 is an abundant number, since it is smaller than the sum of its proper divisors (21344580).

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

9049680 is a wasteful number, since it uses less digits than its factorization.

9049680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12588 (or 12579 counting only the distinct ones).

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

The square root of 9049680 is about 3008.2686050285. The cubic root of 9049680 is about 208.3904156472.

It can be divided in two parts, 90 and 49680, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 9049680 in words is "nine million, forty-nine thousand, six hundred eighty".