1353386920 has 64 divisors (see below), whose sum is σ = 3094848000. Its totient is φ = 532566528.

The previous prime is 1353386911. The next prime is 1353386927. The reversal of 1353386920 is 296833531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1353386927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1133844 + ... + 1135036.

It is an arithmetic number, because the mean of its divisors is an integer number (48357000).

Almost surely, 2^1353386920 is an apocalyptic number.

1353386920 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 1353386920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547424000).

1353386920 is an abundant number, since it is smaller than the sum of its proper divisors (1741461080).

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

1353386920 is a wasteful number, since it uses less digits than its factorization.

1353386920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 1353386920 is about 36788.4074132056. The cubic root of 1353386920 is about 1106.1329384681.

The spelling of 1353386920 in words is "one billion, three hundred fifty-three million, three hundred eighty-six thousand, nine hundred twenty".