8724960 has 144 divisors (see below), whose sum is σ = 30545424. Its totient is φ = 2267136.

The previous prime is 8724949. The next prime is 8724967. The reversal of 8724960 is 694278.

8724960 = T₂₄₇ + T₂₄₈ + ... + T₄₀₆.

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

It is a super-2 number, since 2×8724960² = 152249854003200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8724967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105079 + ... + 105161.

It is an arithmetic number, because the mean of its divisors is an integer number (212121).

Almost surely, 2^8724960 is an apocalyptic number.

8724960 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 8724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272712).

8724960 is an abundant number, since it is smaller than the sum of its proper divisors (21820464).

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

8724960 is a wasteful number, since it uses less digits than its factorization.

8724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8724960 is about 2953.8043266269. The cubic root of 8724960 is about 205.8675115032.

It can be divided in two parts, 872 and 4960, that added together give a cube (5832 = 18³).

The spelling of 8724960 in words is "eight million, seven hundred twenty-four thousand, nine hundred sixty".