1352164620 has 192 divisors, whose sum is σ = 4023613440. Its totient is φ = 338936832.

The previous prime is 1352164609. The next prime is 1352164633. The reversal of 1352164620 is 264612531.

It is a super-3 number, since 3×1352164620³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12405126 + ... + 12405234.

It is an arithmetic number, because the mean of its divisors is an integer number (20956320).

Almost surely, 2^1352164620 is an apocalyptic number.

1352164620 is a gapful number since it is divisible by the number (10) 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 1352164620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011806720).

1352164620 is an abundant number, since it is smaller than the sum of its proper divisors (2671448820).

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

1352164620 is a wasteful number, since it uses less digits than its factorization.

1352164620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1352164620 is about 36771.7910904541. The cubic root of 1352164620 is about 1105.7998399533.

The spelling of 1352164620 in words is "one billion, three hundred fifty-two million, one hundred sixty-four thousand, six hundred twenty".