934090080 has 384 divisors, whose sum is σ = 3715891200. Its totient is φ = 191600640.

The previous prime is 934090067. The next prime is 934090097. The reversal of 934090080 is 80090439.

934090080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4693821 + ... + 4694019.

It is an arithmetic number, because the mean of its divisors is an integer number (9676800).

Almost surely, 2^934090080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 934090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857945600).

934090080 is an abundant number, since it is smaller than the sum of its proper divisors (2781801120).

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

934090080 is a wasteful number, since it uses less digits than its factorization.

934090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 934090080 is about 30562.8872981595. The cubic root of 934090080 is about 977.5288566691.

The spelling of 934090080 in words is "nine hundred thirty-four million, ninety thousand, eighty".