941683680 has 288 divisors, whose sum is σ = 3712310784. Its totient is φ = 212917248.

The previous prime is 941683667. The next prime is 941683697. The reversal of 941683680 is 86386149.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1037787 + ... + 1038693.

It is an arithmetic number, because the mean of its divisors is an integer number (12889968).

Almost surely, 2^941683680 is an apocalyptic number.

941683680 is a gapful number since it is divisible by the number (90) 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 941683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856155392).

941683680 is an abundant number, since it is smaller than the sum of its proper divisors (2770627104).

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

941683680 is a wasteful number, since it uses less digits than its factorization.

941683680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 941683680 is about 30686.8649425125. The cubic root of 941683680 is about 980.1706214101.

It can be divided in two parts, 9416 and 83680, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 941683680 in words is "nine hundred forty-one million, six hundred eighty-three thousand, six hundred eighty".