1364986560 has 224 divisors, whose sum is σ = 4980188160. Its totient is φ = 310284288.

The previous prime is 1364986547. The next prime is 1364986561. The reversal of 1364986560 is 656894631.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1364986561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1538437 + ... + 1539323.

Almost surely, 2^1364986560 is an apocalyptic number.

1364986560 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 1364986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490094080).

1364986560 is an abundant number, since it is smaller than the sum of its proper divisors (3615201600).

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

1364986560 is a wasteful number, since it uses less digits than its factorization.

1364986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 1364986560 is about 36945.7245158354. The cubic root of 1364986560 is about 1109.2841094457.

The spelling of 1364986560 in words is "one billion, three hundred sixty-four million, nine hundred eighty-six thousand, five hundred sixty".