1355090688 has 216 divisors, whose sum is σ = 4662650160. Its totient is φ = 387072000.

The previous prime is 1355090687. The next prime is 1355090717. The reversal of 1355090688 is 8860905531.

1355090688 is a `hidden beast` number, since 1 + 3 + 550 + 90 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (1355090683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336688 + ... + 340688.

Almost surely, 2^1355090688 is an apocalyptic number.

1355090688 is a gapful number since it is divisible by the number (18) 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 1355090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331325080).

1355090688 is an abundant number, since it is smaller than the sum of its proper divisors (3307559472).

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

1355090688 is an equidigital number, since it uses as much as digits as its factorization.

1355090688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1355090688 is about 36811.5564463118. The cubic root of 1355090688 is about 1106.5969111369.

The spelling of 1355090688 in words is "one billion, three hundred fifty-five million, ninety thousand, six hundred eighty-eight".