364142080 has 80 divisors (see below), whose sum is σ = 882202464. Its totient is φ = 144138240.

The previous prime is 364142069. The next prime is 364142081. The reversal of 364142080 is 80241463.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364142081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262990 + ... + 264370.

Almost surely, 2^364142080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441101232).

364142080 is an abundant number, since it is smaller than the sum of its proper divisors (518060384).

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

364142080 is a wasteful number, since it uses less digits than its factorization.

364142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 364142080 is about 19082.5071728010. The cubic root of 364142080 is about 714.0965850504.

The spelling of 364142080 in words is "three hundred sixty-four million, one hundred forty-two thousand, eighty".