870150600 has 480 divisors, whose sum is σ = 3483928800. Its totient is φ = 199065600.

The previous prime is 870150577. The next prime is 870150607. The reversal of 870150600 is 6051078.

870150600 is a `hidden beast` number, since 8 + 7 + 0 + 1 + 50 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (870150607) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 3385672 + ... + 3385928.

It is an arithmetic number, because the mean of its divisors is an integer number (7258185).

Almost surely, 2^870150600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870150600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741964400).

870150600 is an abundant number, since it is smaller than the sum of its proper divisors (2613778200).

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

870150600 is a wasteful number, since it uses less digits than its factorization.

870150600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 870150600 is about 29498.3152061266. The cubic root of 870150600 is about 954.6953515988.

The spelling of 870150600 in words is "eight hundred seventy million, one hundred fifty thousand, six hundred".