10978160 has 40 divisors (see below), whose sum is σ = 26154576. Its totient is φ = 4282880.

The previous prime is 10978139. The next prime is 10978183. The reversal of 10978160 is 6187901.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1607 + ... + 4953.

Almost surely, 2^10978160 is an apocalyptic number.

10978160 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 10978160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077288).

10978160 is an abundant number, since it is smaller than the sum of its proper divisors (15176416).

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

10978160 is a wasteful number, since it uses less digits than its factorization.

10978160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 10978160 is about 3313.3306505690. The cubic root of 10978160 is about 222.2507244923.

The spelling of 10978160 in words is "ten million, nine hundred seventy-eight thousand, one hundred sixty".