951869664 has 96 divisors (see below), whose sum is σ = 2782110240. Its totient is φ = 316624896.

The previous prime is 951869623. The next prime is 951869669. The reversal of 951869664 is 466968159.

It is a happy number.

951869664 is a `hidden beast` number, since 9 + 518 + 69 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 951869664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (951869669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580654 + ... + 582290.

It is an arithmetic number, because the mean of its divisors is an integer number (28980315).

Almost surely, 2^951869664 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 951869664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391055120).

951869664 is an abundant number, since it is smaller than the sum of its proper divisors (1830240576).

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

951869664 is a wasteful number, since it uses less digits than its factorization.

951869664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2315 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 951869664 is about 30852.3850617744. The cubic root of 951869664 is about 983.6920511668.

The spelling of 951869664 in words is "nine hundred fifty-one million, eight hundred sixty-nine thousand, six hundred sixty-four".