11500720 has 80 divisors (see below), whose sum is σ = 33355008. Its totient is φ = 3582720.

The previous prime is 11500703. The next prime is 11500771. The reversal of 11500720 is 2700511.

11500720 = T₇₅ + T₇₆ + ... + T₄₁₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11500694 and 11500703.

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, 5227 + ... + 7093.

Almost surely, 2^11500720 is an apocalyptic number.

11500720 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 11500720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16677504).

11500720 is an abundant number, since it is smaller than the sum of its proper divisors (21854288).

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

11500720 is a wasteful number, since it uses less digits than its factorization.

11500720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 11500720 is about 3391.2711481095. The cubic root of 11500720 is about 225.7225823092.

The spelling of 11500720 in words is "eleven million, five hundred thousand, seven hundred twenty".