948606120 has 768 divisors, whose sum is σ = 4274726400. Its totient is φ = 182476800.

The previous prime is 948606083. The next prime is 948606157. The reversal of 948606120 is 21606849.

948606120 is a `hidden beast` number, since 9 + 48 + 606 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (948606083) and next prime (948606157).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15550890 + ... + 15550950.

It is an arithmetic number, because the mean of its divisors is an integer number (5566050).

Almost surely, 2^948606120 is an apocalyptic number.

948606120 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 948606120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137363200).

948606120 is an abundant number, since it is smaller than the sum of its proper divisors (3326120280).

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

948606120 is a wasteful number, since it uses less digits than its factorization.

948606120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 948606120 is about 30799.4499950892. The cubic root of 948606120 is about 982.5665475582.

948606120 divided by its sum of digits (36) gives a triangular number (26350170 = T₇₂₅₉).

The spelling of 948606120 in words is "nine hundred forty-eight million, six hundred six thousand, one hundred twenty".