120087648 has 72 divisors (see below), whose sum is σ = 349477128. Its totient is φ = 39094272.

The previous prime is 120087631. The next prime is 120087659. The reversal of 120087648 is 846780021.

120087648 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 8 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 7536 + ... + 17232.

It is an arithmetic number, because the mean of its divisors is an integer number (4853849).

Almost surely, 2^120087648 is an apocalyptic number.

120087648 is a gapful number since it is divisible by the number (18) 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 120087648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174738564).

120087648 is an abundant number, since it is smaller than the sum of its proper divisors (229389480).

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

120087648 is a wasteful number, since it uses less digits than its factorization.

120087648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756 (or 9745 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 120087648 is about 10958.4509854267. The cubic root of 120087648 is about 493.3624737271.

The spelling of 120087648 in words is "one hundred twenty million, eighty-seven thousand, six hundred forty-eight".