942945120 has 288 divisors, whose sum is σ = 3670404192. Its totient is φ = 218382336.

The previous prime is 942945089. The next prime is 942945149. The reversal of 942945120 is 21549249.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316759 + ... + 319721.

It is an arithmetic number, because the mean of its divisors is an integer number (12744459).

Almost surely, 2^942945120 is an apocalyptic number.

942945120 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 942945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835202096).

942945120 is an abundant number, since it is smaller than the sum of its proper divisors (2727459072).

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

942945120 is a wasteful number, since it uses less digits than its factorization.

942945120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 942945120 is about 30707.4114832234. The cubic root of 942945120 is about 980.6080912941.

The spelling of 942945120 in words is "nine hundred forty-two million, nine hundred forty-five thousand, one hundred twenty".