948720640 has 176 divisors, whose sum is σ = 2636404992. Its totient is φ = 320864256.

The previous prime is 948720637. The next prime is 948720667. The reversal of 948720640 is 46027849.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 948720593 and 948720602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3691392 + ... + 3691648.

Almost surely, 2^948720640 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 948720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318202496).

948720640 is an abundant number, since it is smaller than the sum of its proper divisors (1687684352).

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

948720640 is a wasteful number, since it uses less digits than its factorization.

948720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 948720640 is about 30801.3090630902. The cubic root of 948720640 is about 982.6060859190.

The spelling of 948720640 in words is "nine hundred forty-eight million, seven hundred twenty thousand, six hundred forty".