10987392 has 128 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 3225600.

The previous prime is 10987391. The next prime is 10987411. The reversal of 10987392 is 29378901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10987392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10987391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154717 + ... + 154787.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^10987392 is an apocalyptic number.

10987392 is a gapful number since it is divisible by the number (12) 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 10987392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

10987392 is an abundant number, since it is smaller than the sum of its proper divisors (21913728).

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

10987392 is a wasteful number, since it uses less digits than its factorization.

10987392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 10987392 is about 3314.7235178820. The cubic root of 10987392 is about 222.3130070546.

The spelling of 10987392 in words is "ten million, nine hundred eighty-seven thousand, three hundred ninety-two".