160264400 has 60 divisors (see below), whose sum is σ = 387763500. Its totient is φ = 63651840.

The previous prime is 160264393. The next prime is 160264409. The reversal of 160264400 is 4462061.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 59783824 + 100480576 = 7732^2 + 10024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160264409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58256 + ... + 60944.

It is an arithmetic number, because the mean of its divisors is an integer number (6462725).

Almost surely, 2^160264400 is an apocalyptic number.

160264400 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 160264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193881750).

160264400 is an abundant number, since it is smaller than the sum of its proper divisors (227499100).

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

160264400 is a wasteful number, since it uses less digits than its factorization.

160264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 160264400 is about 12659.5576541995. The cubic root of 160264400 is about 543.1823970905.

The spelling of 160264400 in words is "one hundred sixty million, two hundred sixty-four thousand, four hundred".