371664 has 60 divisors (see below), whose sum is σ = 1088100. Its totient is φ = 118272.

The previous prime is 371663. The next prime is 371669. The reversal of 371664 is 466173.

371664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 129600 + 242064 = 360^2 + 492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (371663) 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, 4132 + ... + 4220.

It is an arithmetic number, because the mean of its divisors is an integer number (18135).

2³⁷¹⁶⁶⁴ 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 371664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544050).

371664 is an abundant number, since it is smaller than the sum of its proper divisors (716436).

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

371664 is a wasteful number, since it uses less digits than its factorization.

371664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 371664 is about 609.6425182023. The cubic root of 371664 is about 71.8980037269.

It can be divided in two parts, 371 and 664, that added together give a triangular number (1035 = T₄₅).

The spelling of 371664 in words is "three hundred seventy-one thousand, six hundred sixty-four".