934318080 has 312 divisors, whose sum is σ = 3350381112. Its totient is φ = 240648192.

The previous prime is 934318051. The next prime is 934318111. The reversal of 934318080 is 80813439.

It can be written as a sum of positive squares in 4 ways, for example, as 291999744 + 642318336 = 17088^2 + 25344^2 .

It is a super-2 number, since 2×934318080² = 1745900549229772800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 6819772 + ... + 6819908.

It is an arithmetic number, because the mean of its divisors is an integer number (10738401).

Almost surely, 2^934318080 is an apocalyptic number.

934318080 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 934318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675190556).

934318080 is an abundant number, since it is smaller than the sum of its proper divisors (2416063032).

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

934318080 is a wasteful number, since it uses less digits than its factorization.

934318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

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

The square root of 934318080 is about 30566.6170846563. The cubic root of 934318080 is about 977.6083844908.

The spelling of 934318080 in words is "nine hundred thirty-four million, three hundred eighteen thousand, eighty".