948538080 has 288 divisors, whose sum is σ = 3862766880. Its totient is φ = 216760320.

The previous prime is 948538079. The next prime is 948538109. The reversal of 948538080 is 80835849.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209440 + ... + 213920.

It is an arithmetic number, because the mean of its divisors is an integer number (13412385).

Almost surely, 2^948538080 is an apocalyptic number.

948538080 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 948538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931383440).

948538080 is an abundant number, since it is smaller than the sum of its proper divisors (2914228800).

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

948538080 is a wasteful number, since it uses less digits than its factorization.

948538080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 948538080 is about 30798.3454101028. The cubic root of 948538080 is about 982.5430550446.

The spelling of 948538080 in words is "nine hundred forty-eight million, five hundred thirty-eight thousand, eighty".