1386090090 has 512 divisors, whose sum is σ = 5059584000. Its totient is φ = 263450880.

The previous prime is 1386090089. The next prime is 1386090103. The reversal of 1386090090 is 900906831.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47796196 + ... + 47796224.

It is an arithmetic number, because the mean of its divisors is an integer number (9882000).

Almost surely, 2^1386090090 is an apocalyptic number.

1386090090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1386090090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529792000).

1386090090 is an abundant number, since it is smaller than the sum of its proper divisors (3673493910).

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

1386090090 is a wasteful number, since it uses less digits than its factorization.

1386090090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1386090090 is about 37230.2308614921. The cubic root of 1386090090 is about 1114.9716362174.

The spelling of 1386090090 in words is "one billion, three hundred eighty-six million, ninety thousand, ninety".