948087720 has 128 divisors (see below), whose sum is σ = 3269376000. Its totient is φ = 244097280.

The previous prime is 948087683. The next prime is 948087727. The reversal of 948087720 is 27780849.

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

It is not an unprimeable number, because it can be changed into a prime (948087727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16185 + ... + 46455.

It is an arithmetic number, because the mean of its divisors is an integer number (25542000).

Almost surely, 2^948087720 is an apocalyptic number.

948087720 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 948087720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634688000).

948087720 is an abundant number, since it is smaller than the sum of its proper divisors (2321288280).

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

948087720 is a wasteful number, since it uses less digits than its factorization.

948087720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30320 (or 30310 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 948087720 is about 30791.0331103066. The cubic root of 948087720 is about 982.3875286439.

The spelling of 948087720 in words is "nine hundred forty-eight million, eighty-seven thousand, seven hundred twenty".