11504640 has 176 divisors, whose sum is σ = 42446592. Its totient is φ = 2605056.

The previous prime is 11504639. The next prime is 11504651. The reversal of 11504640 is 4640511.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107467 + ... + 107573.

Almost surely, 2^11504640 is an apocalyptic number.

11504640 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 11504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21223296).

11504640 is an abundant number, since it is smaller than the sum of its proper divisors (30941952).

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

11504640 is a wasteful number, since it uses less digits than its factorization.

11504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 11504640 is about 3391.8490532451. The cubic root of 11504640 is about 225.7482251099.

The spelling of 11504640 in words is "eleven million, five hundred four thousand, six hundred forty".