161355264 has 160 divisors (see below), whose sum is σ = 504134400. Its totient is φ = 44900352.

The previous prime is 161355253. The next prime is 161355269. The reversal of 161355264 is 462553161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161355269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462162 + ... + 462510.

It is an arithmetic number, because the mean of its divisors is an integer number (3150840).

Almost surely, 2^161355264 is an apocalyptic number.

161355264 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 161355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252067200).

161355264 is an abundant number, since it is smaller than the sum of its proper divisors (342779136).

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

161355264 is an equidigital number, since it uses as much as digits as its factorization.

161355264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 404 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 161355264 is about 12702.5691889476. The cubic root of 161355264 is about 544.4120292546.

The spelling of 161355264 in words is "one hundred sixty-one million, three hundred fifty-five thousand, two hundred sixty-four".