1354073760 has 672 divisors, whose sum is σ = 5552789760. Its totient is φ = 309049344.

The previous prime is 1354073729. The next prime is 1354073801. The reversal of 1354073760 is 673704531.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 28810057 + ... + 28810103.

It is an arithmetic number, because the mean of its divisors is an integer number (8263080).

Almost surely, 2^1354073760 is an apocalyptic number.

1354073760 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 1354073760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776394880).

1354073760 is an abundant number, since it is smaller than the sum of its proper divisors (4198716000).

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

1354073760 is a wasteful number, since it uses less digits than its factorization.

1354073760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 1354073760 is about 36797.7412350269. The cubic root of 1354073760 is about 1106.3200265927.

The spelling of 1354073760 in words is "one billion, three hundred fifty-four million, seventy-three thousand, seven hundred sixty".