356640 has 48 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 94976.

The previous prime is 356621. The next prime is 356647. The reversal of 356640 is 46653.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 356640.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 356640.

It is not an unprimeable number, because it can be changed into a prime (356647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2³⁵⁶⁶⁴⁰ is an apocalyptic number.

356640 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 356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

356640 is an abundant number, since it is smaller than the sum of its proper divisors (768288).

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

356640 is a wasteful number, since it uses less digits than its factorization.

356640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 356640 is about 597.1934359988. The cubic root of 356640 is about 70.9158561473.

The spelling of 356640 in words is "three hundred fifty-six thousand, six hundred forty".