1368601920 has 560 divisors, whose sum is σ = 5871423360. Its totient is φ = 295612416.

The previous prime is 1368601909. The next prime is 1368601931. The reversal of 1368601920 is 291068631.

It is an interprime number because it is at equal distance from previous prime (1368601909) and next prime (1368601931).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3447162 + ... + 3447558.

Almost surely, 2^1368601920 is an apocalyptic number.

1368601920 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 1368601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935711680).

1368601920 is an abundant number, since it is smaller than the sum of its proper divisors (4502821440).

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

1368601920 is a wasteful number, since it uses less digits than its factorization.

1368601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1368601920 is about 36994.6201494217. The cubic root of 1368601920 is about 1110.2626113490.

The spelling of 1368601920 in words is "one billion, three hundred sixty-eight million, six hundred one thousand, nine hundred twenty".