362840 has 32 divisors (see below), whose sum is σ = 838080. Its totient is φ = 141312.

The previous prime is 362801. The next prime is 362851. The reversal of 362840 is 48263.

It is a happy number.

362840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1784 + ... + 1976.

It is an arithmetic number, because the mean of its divisors is an integer number (26190).

2³⁶²⁸⁴⁰ 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 362840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419040).

362840 is an abundant number, since it is smaller than the sum of its proper divisors (475240).

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

362840 is a wasteful number, since it uses less digits than its factorization.

362840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 362840 is about 602.3620173949. The cubic root of 362840 is about 71.3244425600.

The spelling of 362840 in words is "three hundred sixty-two thousand, eight hundred forty".