165916464 has 160 divisors (see below), whose sum is σ = 535965696. Its totient is φ = 43130880.

The previous prime is 165916459. The next prime is 165916469. The reversal of 165916464 is 464619561.

165916464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165916459) and next prime (165916469).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (165916469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176604 + ... + 177540.

Almost surely, 2^165916464 is an apocalyptic number.

165916464 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 165916464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267982848).

165916464 is an abundant number, since it is smaller than the sum of its proper divisors (370049232).

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

165916464 is a wasteful number, since it uses less digits than its factorization.

165916464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 997 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 165916464 is about 12880.8564932616. The cubic root of 165916464 is about 549.4942612740.

The spelling of 165916464 in words is "one hundred sixty-five million, nine hundred sixteen thousand, four hundred sixty-four".