1358000640 has 480 divisors, whose sum is σ = 5094048960. Its totient is φ = 346374144.

The previous prime is 1358000591. The next prime is 1358000701. The reversal of 1358000640 is 460008531.

1358000640 is a `hidden beast` number, since 13 + 5 + 8 + 0 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 23016931 + ... + 23016989.

It is an arithmetic number, because the mean of its divisors is an integer number (10612602).

Almost surely, 2^1358000640 is an apocalyptic number.

1358000640 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 1358000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547024480).

1358000640 is an abundant number, since it is smaller than the sum of its proper divisors (3736048320).

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

1358000640 is an frugal number, since it uses more digits than its factorization.

1358000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

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

The square root of 1358000640 is about 36851.0602289812. The cubic root of 1358000640 is about 1107.3884551189.

The spelling of 1358000640 in words is "one billion, three hundred fifty-eight million, six hundred forty", and thus it is an aban number.