10897920 has 240 divisors, whose sum is σ = 42131232. Its totient is φ = 2580480.

The previous prime is 10897903. The next prime is 10897921. The reversal of 10897920 is 2979801.

10897920 = T₃₈₉ + T₃₉₀ + ... + T₄₉₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10897921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253419 + ... + 253461.

Almost surely, 2^10897920 is an apocalyptic number.

10897920 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 10897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21065616).

10897920 is an abundant number, since it is smaller than the sum of its proper divisors (31233312).

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

10897920 is a wasteful number, since it uses less digits than its factorization.

10897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10897920 is about 3301.1997818975. The cubic root of 10897920 is about 221.7079187803.

It can be divided in two parts, 1089 and 7920, that added together give a palindrome (9009).

The spelling of 10897920 in words is "ten million, eight hundred ninety-seven thousand, nine hundred twenty".