1362142560 has 96 divisors (see below), whose sum is σ = 4333385952. Its totient is φ = 359628800.

The previous prime is 1362142543. The next prime is 1362142583. The reversal of 1362142560 is 652412631.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 34432 + ... + 62528.

It is an arithmetic number, because the mean of its divisors is an integer number (45139437).

Almost surely, 2^1362142560 is an apocalyptic number.

1362142560 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 1362142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166692976).

1362142560 is an abundant number, since it is smaller than the sum of its proper divisors (2971243392).

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

1362142560 is a wasteful number, since it uses less digits than its factorization.

1362142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28216 (or 28208 counting only the distinct ones).

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

The square root of 1362142560 is about 36907.2155546852. The cubic root of 1362142560 is about 1108.5131622707.

The spelling of 1362142560 in words is "one billion, three hundred sixty-two million, one hundred forty-two thousand, five hundred sixty".