1352492064 has 288 divisors, whose sum is σ = 4868398080. Its totient is φ = 345945600.

The previous prime is 1352492047. The next prime is 1352492123. The reversal of 1352492064 is 4602942531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1574067 + ... + 1574925.

It is an arithmetic number, because the mean of its divisors is an integer number (16904160).

Almost surely, 2^1352492064 is an apocalyptic number.

1352492064 is a gapful number since it is divisible by the number (14) 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 1352492064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434199040).

1352492064 is an abundant number, since it is smaller than the sum of its proper divisors (3515906016).

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

1352492064 is a wasteful number, since it uses less digits than its factorization.

1352492064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1352492064 is about 36776.2432012842. The cubic root of 1352492064 is about 1105.8890939523.

The spelling of 1352492064 in words is "one billion, three hundred fifty-two million, four hundred ninety-two thousand, sixty-four".