7631960 has 64 divisors (see below), whose sum is σ = 19897920. Its totient is φ = 2580480.

The previous prime is 7631957. The next prime is 7631969. The reversal of 7631960 is 691367.

It is a super-3 number, since 3×7631960³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7631969) 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 15 ways as a sum of consecutive naturals, for example, 27020 + ... + 27300.

It is an arithmetic number, because the mean of its divisors is an integer number (310905).

Almost surely, 2^7631960 is an apocalyptic number.

7631960 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 7631960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9948960).

7631960 is an abundant number, since it is smaller than the sum of its proper divisors (12265960).

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

7631960 is a wasteful number, since it uses less digits than its factorization.

7631960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 7631960 is about 2762.6002244263. The cubic root of 7631960 is about 196.8847273266.

The spelling of 7631960 in words is "seven million, six hundred thirty-one thousand, nine hundred sixty".