364581140 has 96 divisors (see below), whose sum is σ = 970437888. Its totient is φ = 111744000.

The previous prime is 364581131. The next prime is 364581149. The reversal of 364581140 is 41185463.

It is an interprime number because it is at equal distance from previous prime (364581131) and next prime (364581149).

It is a junction number, because it is equal to n+sod(n) for n = 364581097 and 364581106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364581149) by changing a digit.

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, 92000 + ... + 95880.

It is an arithmetic number, because the mean of its divisors is an integer number (10108728).

Almost surely, 2^364581140 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 364581140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485218944).

364581140 is an abundant number, since it is smaller than the sum of its proper divisors (605856748).

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

364581140 is a wasteful number, since it uses less digits than its factorization.

364581140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 364581140 is about 19094.0079606142. The cubic root of 364581140 is about 714.3834742767.

The spelling of 364581140 in words is "three hundred sixty-four million, five hundred eighty-one thousand, one hundred forty".