165953788 has 144 divisors (see below), whose sum is σ = 411844608. Its totient is φ = 57456000.

The previous prime is 165953743. The next prime is 165953803. The reversal of 165953788 is 887359561.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868773 + ... + 868963.

It is an arithmetic number, because the mean of its divisors is an integer number (2860032).

Almost surely, 2^165953788 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 165953788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205922304).

165953788 is an abundant number, since it is smaller than the sum of its proper divisors (245890820).

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

165953788 is a wasteful number, since it uses less digits than its factorization.

165953788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 52.

The square root of 165953788 is about 12882.3052284907. The cubic root of 165953788 is about 549.5354623009.

The spelling of 165953788 in words is "one hundred sixty-five million, nine hundred fifty-three thousand, seven hundred eighty-eight".