951948 has 36 divisors (see below), whose sum is σ = 2486848. Its totient is φ = 306720.

The previous prime is 951943. The next prime is 951959. The reversal of 951948 is 849159.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 951948.

It is not an unprimeable number, because it can be changed into a prime (951941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 690 + ... + 1542.

2⁹⁵¹⁹⁴⁸ 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 951948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243424).

951948 is an abundant number, since it is smaller than the sum of its proper divisors (1534900).

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

951948 is a wasteful number, since it uses less digits than its factorization.

951948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 889 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 951948 is about 975.6782256461. The cubic root of 951948 is about 98.3719035389.

The spelling of 951948 in words is "nine hundred fifty-one thousand, nine hundred forty-eight".