952829640 has 192 divisors, whose sum is σ = 3653544960. Its totient is φ = 210746880.

The previous prime is 952829629. The next prime is 952829701. The reversal of 952829640 is 46928259.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 72022 + ... + 84218.

It is an arithmetic number, because the mean of its divisors is an integer number (19028880).

Almost surely, 2^952829640 is an apocalyptic number.

952829640 is a gapful number since it is divisible by the number (90) 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 952829640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826772480).

952829640 is an abundant number, since it is smaller than the sum of its proper divisors (2700715320).

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

952829640 is a wasteful number, since it uses less digits than its factorization.

952829640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12252 (or 12245 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 952829640 is about 30867.9387066905. The cubic root of 952829640 is about 984.0226298583.

The spelling of 952829640 in words is "nine hundred fifty-two million, eight hundred twenty-nine thousand, six hundred forty".