930093840 has 400 divisors, whose sum is σ = 3555407856. Its totient is φ = 223948800.

The previous prime is 930093809. The next prime is 930093859. The reversal of 930093840 is 48390039.

It can be written as a sum of positive squares in 8 ways, for example, as 578306304 + 351787536 = 24048^2 + 18756^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 930093795 and 930093804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5138550 + ... + 5138730.

Almost surely, 2^930093840 is an apocalyptic number.

930093840 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 930093840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777703928).

930093840 is an abundant number, since it is smaller than the sum of its proper divisors (2625314016).

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

930093840 is a wasteful number, since it uses less digits than its factorization.

930093840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 930093840 is about 30497.4398925549. The cubic root of 930093840 is about 976.1328371108.

The spelling of 930093840 in words is "nine hundred thirty million, ninety-three thousand, eight hundred forty".