945941760 has 288 divisors, whose sum is σ = 3402524160. Its totient is φ = 248832000.

The previous prime is 945941753. The next prime is 945941767. The reversal of 945941760 is 67149549.

It is an interprime number because it is at equal distance from previous prime (945941753) and next prime (945941767).

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 not an unprimeable number, because it can be changed into a prime (945941767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3490425 + ... + 3490695.

It is an arithmetic number, because the mean of its divisors is an integer number (11814320).

Almost surely, 2^945941760 is an apocalyptic number.

945941760 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 945941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701262080).

945941760 is an abundant number, since it is smaller than the sum of its proper divisors (2456582400).

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

945941760 is a wasteful number, since it uses less digits than its factorization.

945941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 945941760 is about 30756.1662110218. The cubic root of 945941760 is about 981.6457699499.

The spelling of 945941760 in words is "nine hundred forty-five million, nine hundred forty-one thousand, seven hundred sixty".