930496 has 56 divisors (see below), whose sum is σ = 2210816. Its totient is φ = 380160.

The previous prime is 930491. The next prime is 930499. The reversal of 930496 is 694039.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930491) by changing a digit.

930496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13855 + ... + 13921.

2⁹³⁰⁴⁹⁶ 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 930496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105408).

930496 is an abundant number, since it is smaller than the sum of its proper divisors (1280320).

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

930496 is a wasteful number, since it uses less digits than its factorization.

930496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 930496 is about 964.6222058402. The cubic root of 930496 is about 97.6273505718.

It can be divided in two parts, 930 and 496, that multiplied together give a triangular number (461280 = T₉₆₀).

The spelling of 930496 in words is "nine hundred thirty thousand, four hundred ninety-six".