8958480 has 80 divisors (see below), whose sum is σ = 28063680. Its totient is φ = 2363904.

The previous prime is 8958479. The next prime is 8958493. The reversal of 8958480 is 848598.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39006 + ... + 39234.

It is an arithmetic number, because the mean of its divisors is an integer number (350796).

Almost surely, 2^8958480 is an apocalyptic number.

8958480 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 8958480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031840).

8958480 is an abundant number, since it is smaller than the sum of its proper divisors (19105200).

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

8958480 is a wasteful number, since it uses less digits than its factorization.

8958480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 8958480 is about 2993.0720004704. The cubic root of 8958480 is about 207.6880184827.

The spelling of 8958480 in words is "eight million, nine hundred fifty-eight thousand, four hundred eighty".