14528640 has 256 divisors, whose sum is σ = 56401920. Its totient is φ = 3108864.

The previous prime is 14528639. The next prime is 14528641. The reversal of 14528640 is 4682541.

It is an interprime number because it is at equal distance from previous prime (14528639) and next prime (14528641).

It is a super-2 number, since 2×14528640² = 422162760499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14528598 and 14528607.

It is not an unprimeable number, because it can be changed into a prime (14528641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309097 + ... + 309143.

It is an arithmetic number, because the mean of its divisors is an integer number (220320).

Almost surely, 2^14528640 is an apocalyptic number.

14528640 is a gapful number since it is divisible by the number (10) 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 14528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28200960).

14528640 is an abundant number, since it is smaller than the sum of its proper divisors (41873280).

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

14528640 is a wasteful number, since it uses less digits than its factorization.

14528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 14528640 is about 3811.6453140343. The cubic root of 14528640 is about 244.0103910293.

The spelling of 14528640 in words is "fourteen million, five hundred twenty-eight thousand, six hundred forty".