940983120 has 360 divisors, whose sum is σ = 3972329088. Its totient is φ = 195402240.

The previous prime is 940983119. The next prime is 940983137. The reversal of 940983120 is 21389049.

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 609069 + ... + 610611.

Almost surely, 2^940983120 is an apocalyptic number.

940983120 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 940983120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986164544).

940983120 is an abundant number, since it is smaller than the sum of its proper divisors (3031345968).

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

940983120 is a wasteful number, since it uses less digits than its factorization.

940983120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 940983120 is about 30675.4481629853. The cubic root of 940983120 is about 979.9274970657.

It can be divided in two parts, 9409 and 83120, that added together give a palindrome (92529).

The spelling of 940983120 in words is "nine hundred forty million, nine hundred eighty-three thousand, one hundred twenty".