10987520 has 96 divisors (see below), whose sum is σ = 28009800. Its totient is φ = 4128768.

The previous prime is 10987517. The next prime is 10987523. The reversal of 10987520 is 2578901.

It is an interprime number because it is at equal distance from previous prime (10987517) and next prime (10987523).

It can be written as a sum of positive squares in 4 ways, for example, as 10445824 + 541696 = 3232^2 + 736^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10987523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296942 + ... + 296978.

Almost surely, 2^10987520 is an apocalyptic number.

10987520 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 10987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004900).

10987520 is an abundant number, since it is smaller than the sum of its proper divisors (17022280).

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

10987520 is an equidigital number, since it uses as much as digits as its factorization.

10987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 10987520 is about 3314.7428256201. The cubic root of 10987520 is about 222.3138703457.

The spelling of 10987520 in words is "ten million, nine hundred eighty-seven thousand, five hundred twenty".