10677072 has 80 divisors (see below), whose sum is σ = 32299520. Its totient is φ = 2975616.

The previous prime is 10677061. The next prime is 10677077. The reversal of 10677072 is 27077601.

It is a happy number.

It is a super-2 number, since 2×10677072² = 227999732986368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10677077) 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 15 ways as a sum of consecutive naturals, for example, 14079 + ... + 14817.

It is an arithmetic number, because the mean of its divisors is an integer number (403744).

Almost surely, 2^10677072 is an apocalyptic number.

10677072 is a gapful number since it is divisible by the number (12) 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 10677072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16149760).

10677072 is an abundant number, since it is smaller than the sum of its proper divisors (21622448).

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

10677072 is a wasteful number, since it uses less digits than its factorization.

10677072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 10677072 is about 3267.5789202405. The cubic root of 10677072 is about 220.2000384425.

The spelling of 10677072 in words is "ten million, six hundred seventy-seven thousand, seventy-two".