165215040 has 112 divisors (see below), whose sum is σ = 529547328. Its totient is φ = 43638784.

The previous prime is 165215033. The next prime is 165215053. The reversal of 165215040 is 40512561.

165215040 is digitally balanced in base 2, because in such base 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 165215040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107719 + ... + 109241.

Almost surely, 2^165215040 is an apocalyptic number.

165215040 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 165215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264773664).

165215040 is an abundant number, since it is smaller than the sum of its proper divisors (364332288).

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

165215040 is a wasteful number, since it uses less digits than its factorization.

165215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 165215040 is about 12853.6002738532. The cubic root of 165215040 is about 548.7188250996.

The spelling of 165215040 in words is "one hundred sixty-five million, two hundred fifteen thousand, forty".