48987120 has 160 divisors (see below), whose sum is σ = 186988032. Its totient is φ = 10331136.

The previous prime is 48987101. The next prime is 48987131. The reversal of 48987120 is 2178984.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20719 + ... + 22961.

Almost surely, 2^48987120 is an apocalyptic number.

48987120 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 48987120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93494016).

48987120 is an abundant number, since it is smaller than the sum of its proper divisors (138000912).

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

48987120 is a wasteful number, since it uses less digits than its factorization.

48987120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 48987120 is about 6999.0799395349. The cubic root of 48987120 is about 365.8985057045.

The spelling of 48987120 in words is "forty-eight million, nine hundred eighty-seven thousand, one hundred twenty".