7842064 has 20 divisors (see below), whose sum is σ = 15718860. Its totient is φ = 3785600.

The previous prime is 7842061. The next prime is 7842067. The reversal of 7842064 is 4602487.

7842064 = T₂₀₉ + T₂₁₀ + ... + T₃₈₂.

It is an interprime number because it is at equal distance from previous prime (7842061) and next prime (7842067).

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 1123600 = 2592^2 + 1060^2 .

It is a super-2 number, since 2×7842064² = 122995935560192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7842061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7987 + ... + 8914.

It is an arithmetic number, because the mean of its divisors is an integer number (785943).

Almost surely, 2^7842064 is an apocalyptic number.

It is an amenable number.

7842064 is an abundant number, since it is smaller than the sum of its proper divisors (7876796).

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

7842064 is a wasteful number, since it uses less digits than its factorization.

7842064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16938 (or 16932 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 7842064 is about 2800.3685471737. The cubic root of 7842064 is about 198.6751093710.

The spelling of 7842064 in words is "seven million, eight hundred forty-two thousand, sixty-four".