165563460 has 96 divisors (see below), whose sum is σ = 521740800. Its totient is φ = 43580160.

The previous prime is 165563441. The next prime is 165563483. The reversal of 165563460 is 64365561.

165563460 is a `hidden beast` number, since 16 + 5 + 5 + 634 + 6 + 0 = 666.

It is a super-2 number, since 2×165563460² = 54822518574343200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40720 + ... + 44600.

It is an arithmetic number, because the mean of its divisors is an integer number (5434800).

Almost surely, 2^165563460 is an apocalyptic number.

165563460 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 165563460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260870400).

165563460 is an abundant number, since it is smaller than the sum of its proper divisors (356177340).

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

165563460 is a wasteful number, since it uses less digits than its factorization.

165563460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 165563460 is about 12867.1465368200. The cubic root of 165563460 is about 549.1042830955.

The spelling of 165563460 in words is "one hundred sixty-five million, five hundred sixty-three thousand, four hundred sixty".