1353673620 has 480 divisors, whose sum is σ = 5122656000. Its totient is φ = 295612416.

The previous prime is 1353673591. The next prime is 1353673627. The reversal of 1353673620 is 263763531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353673627) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6802281 + ... + 6802479.

It is an arithmetic number, because the mean of its divisors is an integer number (10672200).

Almost surely, 2^1353673620 is an apocalyptic number.

1353673620 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 1353673620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561328000).

1353673620 is an abundant number, since it is smaller than the sum of its proper divisors (3768982380).

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

1353673620 is a wasteful number, since it uses less digits than its factorization.

1353673620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 1353673620 is about 36792.3038147926. The cubic root of 1353673620 is about 1106.2110402826.

The spelling of 1353673620 in words is "one billion, three hundred fifty-three million, six hundred seventy-three thousand, six hundred twenty".