930875040 has 144 divisors (see below), whose sum is σ = 3236812488. Its totient is φ = 243529728.

The previous prime is 930875027. The next prime is 930875047. The reversal of 930875040 is 40578039.

It can be written as a sum of positive squares in 4 ways, for example, as 877818384 + 53056656 = 29628^2 + 7284^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 930874986 and 930875004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930875047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70222 + ... + 82418.

Almost surely, 2^930875040 is an apocalyptic number.

930875040 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 930875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618406244).

930875040 is an abundant number, since it is smaller than the sum of its proper divisors (2305937448).

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

930875040 is a wasteful number, since it uses less digits than its factorization.

930875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12271 (or 12260 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 930875040 is about 30510.2448367757. The cubic root of 930875040 is about 976.4060502517.

It can be divided in two parts, 9308 and 75040, that added together give a palindrome (84348).

The spelling of 930875040 in words is "nine hundred thirty million, eight hundred seventy-five thousand, forty".