7841952 has 72 divisors (see below), whose sum is σ = 22666644. Its totient is φ = 2571264.

The previous prime is 7841929. The next prime is 7841957. The reversal of 7841952 is 2591487.

It can be written as a sum of positive squares in 2 ways, for example, as 7817616 + 24336 = 2796^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7841952² = 122992422340608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7841957) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20838 + ... + 21210.

Almost surely, 2^7841952 is an apocalyptic number.

7841952 is a gapful number since it is divisible by the number (72) 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 7841952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11333322).

7841952 is an abundant number, since it is smaller than the sum of its proper divisors (14824692).

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

7841952 is a wasteful number, since it uses less digits than its factorization.

7841952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 7841952 is about 2800.3485497345. The cubic root of 7841952 is about 198.6741635435.

The spelling of 7841952 in words is "seven million, eight hundred forty-one thousand, nine hundred fifty-two".