1067411520 has 672 divisors, whose sum is σ = 4553273088. Its totient is φ = 232906752.

The previous prime is 1067411519. The next prime is 1067411533. The reversal of 1067411520 is 251147601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1067411520² = 2278734706057420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20139814 + ... + 20139866.

It is an arithmetic number, because the mean of its divisors is an integer number (6775704).

Almost surely, 2^1067411520 is an apocalyptic number.

1067411520 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 1067411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276636544).

1067411520 is an abundant number, since it is smaller than the sum of its proper divisors (3485861568).

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

1067411520 is an equidigital number, since it uses as much as digits as its factorization.

1067411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1067411520 is about 32671.2644383409. The cubic root of 1067411520 is about 1021.9836829106.

The spelling of 1067411520 in words is "one billion, sixty-seven million, four hundred eleven thousand, five hundred twenty".