948090 has 96 divisors (see below), whose sum is σ = 2846016. Its totient is φ = 199680.

The previous prime is 948089. The next prime is 948091. The reversal of 948090 is 90849.

948090 = T₃₆ + T₃₇ + ... + T₁₇₈.

It is an interprime number because it is at equal distance from previous prime (948089) and next prime (948091).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 948090.

It is not an unprimeable number, because it can be changed into a prime (948091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55762 + ... + 55778.

It is an arithmetic number, because the mean of its divisors is an integer number (29646).

2⁹⁴⁸⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423008).

948090 is an abundant number, since it is smaller than the sum of its proper divisors (1897926).

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

948090 is a wasteful number, since it uses less digits than its factorization.

948090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 948090 is about 973.6991321758. The cubic root of 948090 is about 98.2388316138.

The spelling of 948090 in words is "nine hundred forty-eight thousand, ninety".