165937440 has 96 divisors (see below), whose sum is σ = 524494656. Its totient is φ = 44098560.

The previous prime is 165937403. The next prime is 165937481. The reversal of 165937440 is 44739561.

It is a tau number, because it is divible by the number of its divisors (96).

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, 250710 + ... + 251370.

It is an arithmetic number, because the mean of its divisors is an integer number (5463486).

Almost surely, 2^165937440 is an apocalyptic number.

165937440 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 165937440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262247328).

165937440 is an abundant number, since it is smaller than the sum of its proper divisors (358557216).

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

165937440 is a wasteful number, since it uses less digits than its factorization.

165937440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 165937440 is about 12881.6706990980. The cubic root of 165937440 is about 549.5174169143.

The spelling of 165937440 in words is "one hundred sixty-five million, nine hundred thirty-seven thousand, four hundred forty".