940957920 has 288 divisors, whose sum is σ = 3693912768. Its totient is φ = 213663744.

The previous prime is 940957889. The next prime is 940957921. The reversal of 940957920 is 29759049.

940957920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 (940957921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2791992 + ... + 2792328.

It is an arithmetic number, because the mean of its divisors is an integer number (12826086).

Almost surely, 2^940957920 is an apocalyptic number.

940957920 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 940957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846956384).

940957920 is an abundant number, since it is smaller than the sum of its proper divisors (2752954848).

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

940957920 is a wasteful number, since it uses less digits than its factorization.

940957920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 940957920 is about 30675.0374082901. The cubic root of 940957920 is about 979.9187493376.

The spelling of 940957920 in words is "nine hundred forty million, nine hundred fifty-seven thousand, nine hundred twenty".