165370464 has 192 divisors, whose sum is σ = 566899200. Its totient is φ = 45909504.

The previous prime is 165370417. The next prime is 165370489. The reversal of 165370464 is 464073561.

It is a happy number.

165370464 is a `hidden beast` number, since 165 + 37 + 0 + 464 = 666.

165370464 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223407 + ... + 224145.

It is an arithmetic number, because the mean of its divisors is an integer number (2952600).

Almost surely, 2^165370464 is an apocalyptic number.

165370464 is a gapful number since it is divisible by the number (14) 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 165370464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283449600).

165370464 is an abundant number, since it is smaller than the sum of its proper divisors (401528736).

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

165370464 is a wasteful number, since it uses less digits than its factorization.

165370464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 165370464 is about 12859.6447851408. The cubic root of 165370464 is about 548.8908379812.

The spelling of 165370464 in words is "one hundred sixty-five million, three hundred seventy thousand, four hundred sixty-four".