120687000 has 192 divisors, whose sum is σ = 438553440. Its totient is φ = 27552000.

The previous prime is 120686983. The next prime is 120687001. The reversal of 120687000 is 786021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120687001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146590 + ... + 147410.

Almost surely, 2^120687000 is an apocalyptic number.

120687000 is a gapful number since it is divisible by the number (10) 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 120687000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219276720).

120687000 is an abundant number, since it is smaller than the sum of its proper divisors (317866440).

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

120687000 is a wasteful number, since it uses less digits than its factorization.

120687000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 120687000 is about 10985.7635146584. The cubic root of 120687000 is about 494.1818952405.

The spelling of 120687000 in words is "one hundred twenty million, six hundred eighty-seven thousand".