948348720 has 240 divisors, whose sum is σ = 3595082400. Its totient is φ = 221921280.

The previous prime is 948348701. The next prime is 948348721. The reversal of 948348720 is 27843849.

948348720 is a `hidden beast` number, since 94 + 83 + 487 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (948348721) 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 47 ways as a sum of consecutive naturals, for example, 227616 + ... + 231744.

It is an arithmetic number, because the mean of its divisors is an integer number (14979510).

Almost surely, 2^948348720 is an apocalyptic number.

948348720 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 948348720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797541200).

948348720 is an abundant number, since it is smaller than the sum of its proper divisors (2646733680).

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

948348720 is a wasteful number, since it uses less digits than its factorization.

948348720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 948348720 is about 30795.2710655386. The cubic root of 948348720 is about 982.4776678489.

The spelling of 948348720 in words is "nine hundred forty-eight million, three hundred forty-eight thousand, seven hundred twenty".