1364216160 has 96 divisors (see below), whose sum is σ = 4303176192. Its totient is φ = 363292160.

The previous prime is 1364216143. The next prime is 1364216167. The reversal of 1364216160 is 616124631.

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

It is a super-2 number, since 2×1364216160² = 3722171462410291200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364216167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464617 + ... + 467543.

It is an arithmetic number, because the mean of its divisors is an integer number (44824752).

Almost surely, 2^1364216160 is an apocalyptic number.

1364216160 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 1364216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151588096).

1364216160 is an abundant number, since it is smaller than the sum of its proper divisors (2938960032).

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

1364216160 is a wasteful number, since it uses less digits than its factorization.

1364216160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1364216160 is about 36935.2969393777. The cubic root of 1364216160 is about 1109.0753764245.

The spelling of 1364216160 in words is "one billion, three hundred sixty-four million, two hundred sixteen thousand, one hundred sixty".