1067201520 has 640 divisors, whose sum is σ = 4525424640. Its totient is φ = 201277440.

The previous prime is 1067201491. The next prime is 1067201543. The reversal of 1067201520 is 251027601.

It is a super-2 number, since 2×1067201520² = 2277838168580620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13508841 + ... + 13508919.

It is an arithmetic number, because the mean of its divisors is an integer number (7070976).

Almost surely, 2^1067201520 is an apocalyptic number.

1067201520 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 1067201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262712320).

1067201520 is an abundant number, since it is smaller than the sum of its proper divisors (3458223120).

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

1067201520 is a wasteful number, since it uses less digits than its factorization.

1067201520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1067201520 is about 32668.0504468816. The cubic root of 1067201520 is about 1021.9166576365.

The spelling of 1067201520 in words is "one billion, sixty-seven million, two hundred one thousand, five hundred twenty".