1329952590 has 96 divisors (see below), whose sum is σ = 3551255136. Its totient is φ = 345139200.

The previous prime is 1329952579. The next prime is 1329952649. The reversal of 1329952590 is 952599231.

1329952590 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 9 + 52 + 590 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1551442 + ... + 1552298.

It is an arithmetic number, because the mean of its divisors is an integer number (36992241).

Almost surely, 2^1329952590 is an apocalyptic number.

1329952590 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 1329952590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775627568).

1329952590 is an abundant number, since it is smaller than the sum of its proper divisors (2221302546).

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

1329952590 is a wasteful number, since it uses less digits than its factorization.

1329952590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 1329952590 is about 36468.5150506571. The cubic root of 1329952590 is about 1099.7113815791.

The spelling of 1329952590 in words is "one billion, three hundred twenty-nine million, nine hundred fifty-two thousand, five hundred ninety".