7891632 has 60 divisors (see below), whose sum is σ = 25243920. Its totient is φ = 2254464.

The previous prime is 7891613. The next prime is 7891649. The reversal of 7891632 is 2361987.

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

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 11 ways as a sum of consecutive naturals, for example, 2907 + ... + 4922.

It is an arithmetic number, because the mean of its divisors is an integer number (420732).

Almost surely, 2^7891632 is an apocalyptic number.

7891632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7891632 is an abundant number, since it is smaller than the sum of its proper divisors (17352288).

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

7891632 is a wasteful number, since it uses less digits than its factorization.

7891632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7850 (or 7841 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7891632 is about 2809.2048697096. The cubic root of 7891632 is about 199.0928247198.

The spelling of 7891632 in words is "seven million, eight hundred ninety-one thousand, six hundred thirty-two".