952748160 has 768 divisors, whose sum is σ = 4102358400. Its totient is φ = 185794560.

The previous prime is 952748143. The next prime is 952748171. The reversal of 952748160 is 61847259.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23237740 + ... + 23237780.

Almost surely, 2^952748160 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 952748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051179200).

952748160 is an abundant number, since it is smaller than the sum of its proper divisors (3149610240).

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

952748160 is a wasteful number, since it uses less digits than its factorization.

952748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 952748160 is about 30866.6188624540. The cubic root of 952748160 is about 983.9945799159.

The spelling of 952748160 in words is "nine hundred fifty-two million, seven hundred forty-eight thousand, one hundred sixty".