1354083840 has 120 divisors (see below), whose sum is σ = 4689652968. Its totient is φ = 361082880.

The previous prime is 1354083827. The next prime is 1354083851. The reversal of 1354083840 is 483804531.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1354083795 and 1354083804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6346 + ... + 52425.

Almost surely, 2^1354083840 is an apocalyptic number.

1354083840 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 1354083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344826484).

1354083840 is an abundant number, since it is smaller than the sum of its proper divisors (3335569128).

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

1354083840 is an equidigital number, since it uses as much as digits as its factorization.

1354083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58800 (or 58781 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1354083840 is about 36797.8781997006. The cubic root of 1354083840 is about 1106.3227718096.

The spelling of 1354083840 in words is "one billion, three hundred fifty-four million, eighty-three thousand, eight hundred forty".