1268037120 has 320 divisors, whose sum is σ = 4698270720. Its totient is φ = 285769728.

The previous prime is 1268037079. The next prime is 1268037139. The reversal of 1268037120 is 217308621.

It is a tau number, because it is divible by the number of its divisors (320).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5537166 + ... + 5537394.

It is an arithmetic number, because the mean of its divisors is an integer number (14682096).

Almost surely, 2^1268037120 is an apocalyptic number.

1268037120 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 1268037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349135360).

1268037120 is an abundant number, since it is smaller than the sum of its proper divisors (3430233600).

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

1268037120 is a wasteful number, since it uses less digits than its factorization.

1268037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1268037120 is about 35609.5088424426. The cubic root of 1268037120 is about 1082.3739276112.

The spelling of 1268037120 in words is "one billion, two hundred sixty-eight million, thirty-seven thousand, one hundred twenty".