1205674536 has 256 divisors, whose sum is σ = 3657830400. Its totient is φ = 327219200.

The previous prime is 1205674529. The next prime is 1205674567. The reversal of 1205674536 is 6354765021.

It is a junction number, because it is equal to n+sod(n) for n = 1205674494 and 1205674503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7219525 + ... + 7219691.

It is an arithmetic number, because the mean of its divisors is an integer number (14288400).

Almost surely, 2^1205674536 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 1205674536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828915200).

1205674536 is an abundant number, since it is smaller than the sum of its proper divisors (2452155864).

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

1205674536 is a wasteful number, since it uses less digits than its factorization.

1205674536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 1205674536 is about 34722.8244242890. The cubic root of 1205674536 is about 1064.3309620166.

The spelling of 1205674536 in words is "one billion, two hundred five million, six hundred seventy-four thousand, five hundred thirty-six".