1361867520 has 144 divisors (see below), whose sum is σ = 4684210272. Its totient is φ = 335216640.

The previous prime is 1361867519. The next prime is 1361867531. The reversal of 1361867520 is 257681631.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 36280 + ... + 63560.

It is an arithmetic number, because the mean of its divisors is an integer number (32529238).

Almost surely, 2^1361867520 is an apocalyptic number.

1361867520 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 1361867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342105136).

1361867520 is an abundant number, since it is smaller than the sum of its proper divisors (3322342752).

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

1361867520 is a wasteful number, since it uses less digits than its factorization.

1361867520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27318 (or 27304 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1361867520 is about 36903.4892659217. The cubic root of 1361867520 is about 1108.4385479604.

The spelling of 1361867520 in words is "one billion, three hundred sixty-one million, eight hundred sixty-seven thousand, five hundred twenty".