930286080 has 320 divisors, whose sum is σ = 3392104320. Its totient is φ = 241532928.

The previous prime is 930286061. The next prime is 930286111. The reversal of 930286080 is 80682039.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2972004 + ... + 2972316.

It is an arithmetic number, because the mean of its divisors is an integer number (10600326).

Almost surely, 2^930286080 is an apocalyptic number.

930286080 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 930286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696052160).

930286080 is an abundant number, since it is smaller than the sum of its proper divisors (2461818240).

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

930286080 is a wasteful number, since it uses less digits than its factorization.

930286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 930286080 is about 30500.5914696748. The cubic root of 930286080 is about 976.2000843933.

The spelling of 930286080 in words is "nine hundred thirty million, two hundred eighty-six thousand, eighty".