8915040 has 144 divisors (see below), whose sum is σ = 31370976. Its totient is φ = 2304000.

The previous prime is 8915029. The next prime is 8915069. The reversal of 8915040 is 405198.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 8914995 and 8915013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58965 + ... + 59115.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 2^8915040 is an apocalyptic number.

8915040 is a gapful number since it is divisible by the number (80) 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 8915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488).

8915040 is an abundant number, since it is smaller than the sum of its proper divisors (22455936).

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

8915040 is a wasteful number, since it uses less digits than its factorization.

8915040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8915040 is about 2985.8064237321. The cubic root of 8915040 is about 207.3517787950.

It can be divided in two parts, 89 and 15040, that added together give a square (15129 = 123²).

The spelling of 8915040 in words is "eight million, nine hundred fifteen thousand, forty".