930121920 has 672 divisors, whose sum is σ = 4134916800. Its totient is φ = 196245504.

The previous prime is 930121903. The next prime is 930121931. The reversal of 930121920 is 29121039.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71547834 + ... + 71547846.

It is an arithmetic number, because the mean of its divisors is an integer number (6153150).

Almost surely, 2^930121920 is an apocalyptic number.

930121920 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 930121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067458400).

930121920 is an abundant number, since it is smaller than the sum of its proper divisors (3204794880).

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

930121920 is a wasteful number, since it uses less digits than its factorization.

930121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 930121920 is about 30497.9002555914. The cubic root of 930121920 is about 976.1426603255.

Adding to 930121920 its reverse (29121039), we get a palindrome (959242959).

The spelling of 930121920 in words is "nine hundred thirty million, one hundred twenty-one thousand, nine hundred twenty".