1350103680 has 512 divisors, whose sum is σ = 5170176000. Its totient is φ = 332107776.

The previous prime is 1350103679. The next prime is 1350103687. The reversal of 1350103680 is 863010531.

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 (1350103687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17089881 + ... + 17089959.

It is an arithmetic number, because the mean of its divisors is an integer number (10098000).

Almost surely, 2^1350103680 is an apocalyptic number.

1350103680 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 1350103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585088000).

1350103680 is an abundant number, since it is smaller than the sum of its proper divisors (3820072320).

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

1350103680 is a wasteful number, since it uses less digits than its factorization.

1350103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1350103680 is about 36743.7570207512. The cubic root of 1350103680 is about 1105.2377422297.

The spelling of 1350103680 in words is "one billion, three hundred fifty million, one hundred three thousand, six hundred eighty".