1354096640 has 112 divisors (see below), whose sum is σ = 3500981568. Its totient is φ = 499777536.

The previous prime is 1354096609. The next prime is 1354096643. The reversal of 1354096640 is 466904531.

It is a junction number, because it is equal to n+sod(n) for n = 1354096594 and 1354096603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354096643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531209 + ... + 533751.

It is an arithmetic number, because the mean of its divisors is an integer number (31258764).

Almost surely, 2^1354096640 is an apocalyptic number.

1354096640 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 1354096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750490784).

1354096640 is an abundant number, since it is smaller than the sum of its proper divisors (2146884928).

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

1354096640 is an equidigital number, since it uses as much as digits as its factorization.

1354096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 1354096640 is about 36798.0521223610. The cubic root of 1354096640 is about 1106.3262577795.

The spelling of 1354096640 in words is "one billion, three hundred fifty-four million, ninety-six thousand, six hundred forty".