8951952 has 80 divisors (see below), whose sum is σ = 24552000. Its totient is φ = 2806272.

The previous prime is 8951947. The next prime is 8951959. The reversal of 8951952 is 2591598.

It is a super-2 number, since 2×8951952² = 160274889220608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8951952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8951959) 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 15 ways as a sum of consecutive naturals, for example, 82074 + ... + 82182.

It is an arithmetic number, because the mean of its divisors is an integer number (306900).

Almost surely, 2^8951952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8951952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276000).

8951952 is an abundant number, since it is smaller than the sum of its proper divisors (15600048).

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

8951952 is a wasteful number, since it uses less digits than its factorization.

8951952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its digits is 32400, while the sum is 39.

The square root of 8951952 is about 2991.9812833639. The cubic root of 8951952 is about 207.6375591475.

The spelling of 8951952 in words is "eight million, nine hundred fifty-one thousand, nine hundred fifty-two".