1364528640 has 160 divisors (see below), whose sum is σ = 4399718400. Its totient is φ = 360751104.

The previous prime is 1364528621. The next prime is 1364528663. The reversal of 1364528640 is 468254631.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974661 + ... + 976059.

It is an arithmetic number, because the mean of its divisors is an integer number (27498240).

Almost surely, 2^1364528640 is an apocalyptic number.

1364528640 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 1364528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199859200).

1364528640 is an abundant number, since it is smaller than the sum of its proper divisors (3035189760).

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

1364528640 is a wasteful number, since it uses less digits than its factorization.

1364528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1364528640 is about 36939.5267971857. The cubic root of 1364528640 is about 1109.1600495690.

The spelling of 1364528640 in words is "one billion, three hundred sixty-four million, five hundred twenty-eight thousand, six hundred forty".