7835696 has 30 divisors (see below), whose sum is σ = 16640676. Its totient is φ = 3544800.

The previous prime is 7835677. The next prime is 7835741. The reversal of 7835696 is 6965387.

It is a super-2 number, since 2×7835696² = 122796263608832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (272160) is a multiple of the sum of its prime divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37031 + ... + 37241.

Almost surely, 2^7835696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7835696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8320338).

7835696 is an abundant number, since it is smaller than the sum of its proper divisors (8804980).

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

7835696 is a wasteful number, since it uses less digits than its factorization.

7835696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 224 counting only the distinct ones).

The product of its digits is 272160, while the sum is 44.

The square root of 7835696 is about 2799.2313230600. The cubic root of 7835696 is about 198.6213180179.

Multiplying 7835696 by its sum of digits (44), we get a square (344770624 = 18568²).

7835696 divided by its sum of digits (44) gives a square (178084 = 422²).

The spelling of 7835696 in words is "seven million, eight hundred thirty-five thousand, six hundred ninety-six".