1352432640 has 264 divisors, whose sum is σ = 4693001328. Its totient is φ = 332267520.

The previous prime is 1352432611. The next prime is 1352432657. The reversal of 1352432640 is 462342531.

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

It is a junction number, because it is equal to n+sod(n) for n = 1352432598 and 1352432607.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2595580 + ... + 2596100.

Almost surely, 2^1352432640 is an apocalyptic number.

1352432640 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 1352432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346500664).

1352432640 is an abundant number, since it is smaller than the sum of its proper divisors (3340568688).

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

1352432640 is a wasteful number, since it uses less digits than its factorization.

1352432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 1352432640 is about 36775.4352795450. The cubic root of 1352432640 is about 1105.8728973530.

It can be divided in two parts, 13524 and 32640, that added together give a palindrome (46164).

The spelling of 1352432640 in words is "one billion, three hundred fifty-two million, four hundred thirty-two thousand, six hundred forty".