1355630544 has 120 divisors (see below), whose sum is σ = 4008850560. Its totient is φ = 426456576.

The previous prime is 1355630537. The next prime is 1355630587. The reversal of 1355630544 is 4450365531.

1355630544 is a `hidden beast` number, since 1 + 3 + 55 + 63 + 0 + 544 = 666.

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 = 1355630499 and 1355630508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855577 + ... + 857159.

It is an arithmetic number, because the mean of its divisors is an integer number (33407088).

Almost surely, 2^1355630544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355630544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004425280).

1355630544 is an abundant number, since it is smaller than the sum of its proper divisors (2653220016).

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

1355630544 is a wasteful number, since it uses less digits than its factorization.

1355630544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 1355630544 is about 36818.8884134217. Note that the first 3 decimals coincide. The cubic root of 1355630544 is about 1106.7438443942.

It can be divided in two parts, 13556 and 30544, that added together give a square (44100 = 210²).

The spelling of 1355630544 in words is "one billion, three hundred fifty-five million, six hundred thirty thousand, five hundred forty-four".