1364131680 has 96 divisors (see below), whose sum is σ = 4549807584. Its totient is φ = 342368256.

The previous prime is 1364131673. The next prime is 1364131687. The reversal of 1364131680 is 861314631.

It is an interprime number because it is at equal distance from previous prime (1364131673) and next prime (1364131687).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364131687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75427 + ... + 91746.

It is an arithmetic number, because the mean of its divisors is an integer number (47393829).

Almost surely, 2^1364131680 is an apocalyptic number.

1364131680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1364131680 is an abundant number, since it is smaller than the sum of its proper divisors (3185675904).

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

1364131680 is a wasteful number, since it uses less digits than its factorization.

1364131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167208 (or 167200 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1364131680 is about 36934.1533001638. The cubic root of 1364131680 is about 1109.0524825399.

The spelling of 1364131680 in words is "one billion, three hundred sixty-four million, one hundred thirty-one thousand, six hundred eighty".