15040640 has 64 divisors (see below), whose sum is σ = 36573120. Its totient is φ = 5913600.

The previous prime is 15040637. The next prime is 15040651. The reversal of 15040640 is 4604051.

15040640 = T₆₅ + T₆₆ + ... + T₄₄₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 45275 + ... + 45605.

It is an arithmetic number, because the mean of its divisors is an integer number (571455).

Almost surely, 2^15040640 is an apocalyptic number.

15040640 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 15040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18286560).

15040640 is an abundant number, since it is smaller than the sum of its proper divisors (21532480).

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

15040640 is an equidigital number, since it uses as much as digits as its factorization.

15040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 15040640 is about 3878.2263987550. The cubic root of 15040640 is about 246.8437329413.

Adding to 15040640 its reverse (4604051), we get a palindrome (19644691).

The spelling of 15040640 in words is "fifteen million, forty thousand, six hundred forty".