165787020 has 192 divisors, whose sum is σ = 599961600. Its totient is φ = 37221120.

The previous prime is 165787019. The next prime is 165787031. The reversal of 165787020 is 20787561.

165787020 is a `hidden beast` number, since 16 + 578 + 70 + 2 + 0 = 666.

165787020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230221 + ... + 230939.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^165787020 is an apocalyptic number.

165787020 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 165787020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299980800).

165787020 is an abundant number, since it is smaller than the sum of its proper divisors (434174580).

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

165787020 is a wasteful number, since it uses less digits than its factorization.

165787020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 165787020 is about 12875.8308469784. The cubic root of 165787020 is about 549.3513233981.

The spelling of 165787020 in words is "one hundred sixty-five million, seven hundred eighty-seven thousand, twenty".