10949952 has 112 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 3256320.

The previous prime is 10949933. The next prime is 10949971. The reversal of 10949952 is 25994901.

It is an interprime number because it is at equal distance from previous prime (10949933) and next prime (10949971).

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 10949952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102283 + ... + 102389.

It is an arithmetic number, because the mean of its divisors is an integer number (288036).

Almost surely, 2^10949952 is an apocalyptic number.

10949952 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 10949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130016).

10949952 is an abundant number, since it is smaller than the sum of its proper divisors (21310080).

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

10949952 is a wasteful number, since it uses less digits than its factorization.

10949952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 10949952 is about 3309.0711687723. The cubic root of 10949952 is about 222.0602060553.

The spelling of 10949952 in words is "ten million, nine hundred forty-nine thousand, nine hundred fifty-two".