941431680 has 512 divisors, whose sum is σ = 3920716800. Its totient is φ = 209018880.

The previous prime is 941431651. The next prime is 941431691. The reversal of 941431680 is 86134149.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5201190 + ... + 5201370.

It is an arithmetic number, because the mean of its divisors is an integer number (7657650).

Almost surely, 2^941431680 is an apocalyptic number.

941431680 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 941431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960358400).

941431680 is an abundant number, since it is smaller than the sum of its proper divisors (2979285120).

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

941431680 is a wasteful number, since it uses less digits than its factorization.

941431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 941431680 is about 30682.7586764945. The cubic root of 941431680 is about 980.0831805003.

The spelling of 941431680 in words is "nine hundred forty-one million, four hundred thirty-one thousand, six hundred eighty".