8732480 has 56 divisors (see below), whose sum is σ = 21534120. Its totient is φ = 3368960.

The previous prime is 8732473. The next prime is 8732489. The reversal of 8732480 is 842378.

It can be written as a sum of positive squares in 4 ways, for example, as 1290496 + 7441984 = 1136^2 + 2728^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8732489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8810 + ... + 9750.

Almost surely, 2^8732480 is an apocalyptic number.

8732480 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 8732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10767060).

8732480 is an abundant number, since it is smaller than the sum of its proper divisors (12801640).

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

8732480 is a wasteful number, since it uses less digits than its factorization.

8732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 8732480 is about 2955.0769871528. The cubic root of 8732480 is about 205.9266399166.

The spelling of 8732480 in words is "eight million, seven hundred thirty-two thousand, four hundred eighty".