7681940 has 48 divisors (see below), whose sum is σ = 18947712. Its totient is φ = 2560896.

The previous prime is 7681939. The next prime is 7681969. The reversal of 7681940 is 491867.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 7681940.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4439 + ... + 5921.

It is an arithmetic number, because the mean of its divisors is an integer number (394744).

Almost surely, 2^7681940 is an apocalyptic number.

7681940 is a gapful number since it is divisible by the number (70) 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 7681940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9473856).

7681940 is an abundant number, since it is smaller than the sum of its proper divisors (11265772).

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

7681940 is a wasteful number, since it uses less digits than its factorization.

7681940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 7681940 is about 2771.6312886097. The cubic root of 7681940 is about 197.3135772264.

The spelling of 7681940 in words is "seven million, six hundred eighty-one thousand, nine hundred forty".