10958472 has 96 divisors (see below), whose sum is σ = 35942400. Its totient is φ = 2944512.

The previous prime is 10958471. The next prime is 10958477. The reversal of 10958472 is 27485901.

10958472 is a `hidden beast` number, since 1 + 0 + 9 + 584 + 72 = 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 (10958471) 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 23 ways as a sum of consecutive naturals, for example, 7929 + ... + 9207.

It is an arithmetic number, because the mean of its divisors is an integer number (374400).

Almost surely, 2^10958472 is an apocalyptic number.

10958472 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 10958472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971200).

10958472 is an abundant number, since it is smaller than the sum of its proper divisors (24983928).

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

10958472 is a wasteful number, since it uses less digits than its factorization.

10958472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1308 counting only the distinct ones).

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

The square root of 10958472 is about 3310.3582887657. The cubic root of 10958472 is about 222.1177850738.

The spelling of 10958472 in words is "ten million, nine hundred fifty-eight thousand, four hundred seventy-two".