48966120 has 320 divisors, whose sum is σ = 200724480. Its totient is φ = 10450944.

The previous prime is 48966101. The next prime is 48966157. The reversal of 48966120 is 2166984.

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 79 ways as a sum of consecutive naturals, for example, 385497 + ... + 385623.

It is an arithmetic number, because the mean of its divisors is an integer number (627264).

Almost surely, 2^48966120 is an apocalyptic number.

48966120 is a gapful number since it is divisible by the number (40) 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 48966120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100362240).

48966120 is an abundant number, since it is smaller than the sum of its proper divisors (151758360).

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

48966120 is a wasteful number, since it uses less digits than its factorization.

48966120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

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

The square root of 48966120 is about 6997.5795815410. The cubic root of 48966120 is about 365.8462132729.

The spelling of 48966120 in words is "forty-eight million, nine hundred sixty-six thousand, one hundred twenty".