1358640 has 160 divisors (see below), whose sum is σ = 5088960. Its totient is φ = 331776.

The previous prime is 1358639. The next prime is 1358647. The reversal of 1358640 is 468531.

1358640 is a `hidden beast` number, since 13 + 5 + 8 + 640 = 666.

1358640 is nontrivially palindromic in base 11.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36702 + ... + 36738.

It is an arithmetic number, because the mean of its divisors is an integer number (31806).

2^1358640 is an apocalyptic number.

1358640 is a gapful number since it is divisible by the number (10) 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 1358640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544480).

1358640 is an abundant number, since it is smaller than the sum of its proper divisors (3730320).

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

1358640 is a wasteful number, since it uses less digits than its factorization.

1358640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1358640 is about 1165.6071379328. The cubic root of 1358640 is about 110.7562217628.

It can be divided in two parts, 135 and 8640, that multiplied together give a square (1166400 = 1080²).

The spelling of 1358640 in words is "one million, three hundred fifty-eight thousand, six hundred forty".