1067545920 has 224 divisors, whose sum is σ = 4042672128. Its totient is φ = 233367552.

The previous prime is 1067545909. The next prime is 1067545931. The reversal of 1067545920 is 295457601.

1067545920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1067545909) and next prime (1067545931).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1067545920² = 2279308582617292800, which contains 22 as substring.

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, 151107 + ... + 158013.

Almost surely, 2^1067545920 is an apocalyptic number.

1067545920 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 1067545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021336064).

1067545920 is an abundant number, since it is smaller than the sum of its proper divisors (2975126208).

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

1067545920 is a wasteful number, since it uses less digits than its factorization.

1067545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6957 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 1067545920 is about 32673.3212269582. The cubic root of 1067545920 is about 1022.0265744727.

The spelling of 1067545920 in words is "one billion, sixty-seven million, five hundred forty-five thousand, nine hundred twenty".