165261810 has 192 divisors, whose sum is σ = 498718080. Its totient is φ = 34836480.

The previous prime is 165261797. The next prime is 165261827. The reversal of 165261810 is 18162561.

It is a super-2 number, since 2×165261810² = 54622931688952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1703682 + ... + 1703778.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2^165261810 is an apocalyptic number.

165261810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165261810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249359040).

165261810 is an abundant number, since it is smaller than the sum of its proper divisors (333456270).

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

165261810 is a wasteful number, since it uses less digits than its factorization.

165261810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 165261810 is about 12855.4194797369. The cubic root of 165261810 is about 548.7705983485.

It can be divided in two parts, 16526 and 1810, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 165261810 in words is "one hundred sixty-five million, two hundred sixty-one thousand, eight hundred ten".