10720600 has 72 divisors (see below), whose sum is σ = 27459180. Its totient is φ = 3889600.

The previous prime is 10720583. The next prime is 10720601. The reversal of 10720600 is 602701.

10720600 = T₃₅₉ + T₃₆₀ + ... + T₄₇₉.

It is a super-2 number, since 2×10720600² = 229862528720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10720601) 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 17 ways as a sum of consecutive naturals, for example, 23979 + ... + 24421.

Almost surely, 2^10720600 is an apocalyptic number.

10720600 is a gapful number since it is divisible by the number (10) 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 10720600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13729590).

10720600 is an abundant number, since it is smaller than the sum of its proper divisors (16738580).

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

10720600 is a wasteful number, since it uses less digits than its factorization.

10720600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10720600 is about 3274.2327345502. The cubic root of 10720600 is about 220.4988679213.

The spelling of 10720600 in words is "ten million, seven hundred twenty thousand, six hundred".