367740 has 60 divisors (see below), whose sum is σ = 1158696. Its totient is φ = 97632.

The previous prime is 367739. The next prime is 367751. The reversal of 367740 is 47763.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 367740.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1507 + ... + 1733.

2³⁶⁷⁷⁴⁰ is an apocalyptic number.

367740 is a gapful number since it is divisible by the number (30) 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 367740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579348).

367740 is an abundant number, since it is smaller than the sum of its proper divisors (790956).

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

367740 is a wasteful number, since it uses less digits than its factorization.

367740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 367740 is about 606.4156990052. The cubic root of 367740 is about 71.6440767694.

It can be divided in two parts, 36 and 7740, that added together give a 5-th power (7776 = 6⁵).

The spelling of 367740 in words is "three hundred sixty-seven thousand, seven hundred forty".