367640 has 64 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 115200.

The previous prime is 367637. The next prime is 367649. The reversal of 367640 is 46763.

367640 = T₁₅₅ + T₁₅₆ + ... + T₁₈₀.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 367640.

It is not an unprimeable number, because it can be changed into a prime (367649) 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, 3590 + ... + 3690.

It is an arithmetic number, because the mean of its divisors is an integer number (16065).

2³⁶⁷⁶⁴⁰ 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 367640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

367640 is an abundant number, since it is smaller than the sum of its proper divisors (660520).

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

367640 is a wasteful number, since it uses less digits than its factorization.

367640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 367640 is about 606.3332417079. Note that the first 3 decimals coincide. The cubic root of 367640 is about 71.6375820928.

The spelling of 367640 in words is "three hundred sixty-seven thousand, six hundred forty".