10077696 has 100 divisors (see below), whose sum is σ = 30203052. Its totient is φ = 3359232.

The previous prime is 10077689. The next prime is 10077721. The reversal of 10077696 is 69677001.

The cubic root of 10077696 is 216.

It is a perfect power (a cube, a 9-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (3!)⁹.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 10077696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3359231 + 3359232 + 3359233.

Almost surely, 2^10077696 is an apocalyptic number.

10077696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15101526).

10077696 is an abundant number, since it is smaller than the sum of its proper divisors (20125356).

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

10077696 is an frugal number, since it uses more digits than its factorization.

10077696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 10077696 is about 3174.5387066470.

Multiplying 10077696 by its sum of digits (36), we get a 11-th power (362797056 = 6¹¹).

10077696 divided by its sum of digits (36) gives a 7-th power (279936 = 6⁷).

The spelling of 10077696 in words is "ten million, seventy-seven thousand, six hundred ninety-six".