952416 has 36 divisors (see below), whose sum is σ = 2709252. Its totient is φ = 317376.

The previous prime is 952397. The next prime is 952423. The reversal of 952416 is 614259.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 952416.

It is a congruent number.

It is an unprimeable number.

952416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 1366 + ... + 1941.

It is an arithmetic number, because the mean of its divisors is an integer number (75257).

2⁹⁵²⁴¹⁶ is an apocalyptic number.

952416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

952416 is an abundant number, since it is smaller than the sum of its proper divisors (1756836).

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

952416 is a wasteful number, since it uses less digits than its factorization.

952416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323 (or 3312 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 952416 is about 975.9180293447. The cubic root of 952416 is about 98.3880215441.

It can be divided in two parts, 9 and 52416, that added together give a palindrome (52425).

The spelling of 952416 in words is "nine hundred fifty-two thousand, four hundred sixteen".