934989120 has 504 divisors, whose sum is σ = 3719861496. Its totient is φ = 214695936.

The previous prime is 934989101. The next prime is 934989161. The reversal of 934989120 is 21989439.

It can be written as a sum of positive squares in 12 ways, for example, as 689377536 + 245611584 = 26256^2 + 15672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8274184 + ... + 8274296.

Almost surely, 2^934989120 is an apocalyptic number.

934989120 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 934989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859930748).

934989120 is an abundant number, since it is smaller than the sum of its proper divisors (2784872376).

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

934989120 is a wasteful number, since it uses less digits than its factorization.

934989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 934989120 is about 30577.5917953000. The cubic root of 934989120 is about 977.8423723779.

The spelling of 934989120 in words is "nine hundred thirty-four million, nine hundred eighty-nine thousand, one hundred twenty".