1952568 has 48 divisors (see below), whose sum is σ = 5410080. Its totient is φ = 635904.

The previous prime is 1952567. The next prime is 1952579. The reversal of 1952568 is 8652591.

It is a happy number.

1952568 is a `hidden beast` number, since 1 + 95 + 2 + 568 = 666.

1952568 is nontrivially palindromic in base 7.

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

It is a d-powerful number, because it can be written as 1 + 9⁴ + 5² + 2¹⁸ + 5³ + 6⁸ + 8⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952563) 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, 3096 + ... + 3672.

It is an arithmetic number, because the mean of its divisors is an integer number (112710).

2^1952568 is an apocalyptic number.

1952568 is a gapful number since it is divisible by the number (18) 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 1952568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705040).

1952568 is an abundant number, since it is smaller than the sum of its proper divisors (3457512).

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

1952568 is a wasteful number, since it uses less digits than its factorization.

1952568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 629 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 1952568 is about 1397.3431933494. The cubic root of 1952568 is about 124.9881162036.

The spelling of 1952568 in words is "one million, nine hundred fifty-two thousand, five hundred sixty-eight".