1067642064 has 30 divisors (see below), whose sum is σ = 2987915346. Its totient is φ = 355880640.

The previous prime is 1067642039. The next prime is 1067642089. The reversal of 1067642064 is 4602467601.

1067642064 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 642 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1067642039) and next prime (1067642089).

It can be written as a sum of positive squares in only one way, i.e., 781761600 + 285880464 = 27960^2 + 16908^2 .

It is a super-2 number, since 2×1067642064² = 2279719153644360192, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3706947 + ... + 3707234.

Almost surely, 2^1067642064 is an apocalyptic number.

It is an amenable number.

1067642064 is an abundant number, since it is smaller than the sum of its proper divisors (1920273282).

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

1067642064 is a wasteful number, since it uses less digits than its factorization.

1067642064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414195 (or 7414186 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1067642064 is about 32674.7924859516. The cubic root of 1067642064 is about 1022.0572550494.

The spelling of 1067642064 in words is "one billion, sixty-seven million, six hundred forty-two thousand, sixty-four".