7835968 has 28 divisors (see below), whose sum is σ = 17771872. Its totient is φ = 3358080.

The previous prime is 7835959. The next prime is 7835977. The reversal of 7835968 is 8695387.

It is an interprime number because it is at equal distance from previous prime (7835959) and next prime (7835977).

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×7835968² = 122804788994048, 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 3 ways as a sum of consecutive naturals, for example, 8298 + ... + 9193.

Almost surely, 2^7835968 is an apocalyptic number.

It is an amenable number.

7835968 is an abundant number, since it is smaller than the sum of its proper divisors (9935904).

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

7835968 is a wasteful number, since it uses less digits than its factorization.

7835968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17510 (or 17500 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 7835968 is about 2799.2799074048. The cubic root of 7835968 is about 198.6236162342.

It can be divided in two parts, 78 and 35968, that added together give a triangular number (36046 = T₂₆₈).

The spelling of 7835968 in words is "seven million, eight hundred thirty-five thousand, nine hundred sixty-eight".