4077696 has 128 divisors (see below), whose sum is σ = 13023360. Its totient is φ = 1105920.

The previous prime is 4077677. The next prime is 4077701. The reversal of 4077696 is 6967704.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99436 + ... + 99476.

It is an arithmetic number, because the mean of its divisors is an integer number (101745).

Almost surely, 2^4077696 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 4077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511680).

4077696 is an abundant number, since it is smaller than the sum of its proper divisors (8945664).

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

4077696 is a wasteful number, since it uses less digits than its factorization.

4077696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 4077696 is about 2019.3305821485. The cubic root of 4077696 is about 159.7613107653.

The spelling of 4077696 in words is "four million, seventy-seven thousand, six hundred ninety-six".