10954872 has 64 divisors (see below), whose sum is σ = 31197600. Its totient is φ = 3559680.

The previous prime is 10954871. The next prime is 10954883. The reversal of 10954872 is 27845901.

10954872 is a `hidden beast` number, since 109 + 548 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10954871) 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, 8238 + ... + 9474.

Almost surely, 2^10954872 is an apocalyptic number.

10954872 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 10954872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15598800).

10954872 is an abundant number, since it is smaller than the sum of its proper divisors (20242728).

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

10954872 is a wasteful number, since it uses less digits than its factorization.

10954872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 10954872 is about 3309.8144963124. The cubic root of 10954872 is about 222.0934595533.

The spelling of 10954872 in words is "ten million, nine hundred fifty-four thousand, eight hundred seventy-two".