10677672 has 24 divisors (see below), whose sum is σ = 28918890. Its totient is φ = 3559200.

The previous prime is 10677659. The next prime is 10677673. The reversal of 10677672 is 27677601.

10677672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10150596 + 527076 = 3186^2 + 726^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10677672² = 228025358679168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10677673) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74079 + ... + 74222.

Almost surely, 2^10677672 is an apocalyptic number.

10677672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10677672 is an abundant number, since it is smaller than the sum of its proper divisors (18241218).

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

10677672 is a wasteful number, since it uses less digits than its factorization.

10677672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148313 (or 148306 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 10677672 is about 3267.6707300461. The cubic root of 10677672 is about 220.2041630923.

The spelling of 10677672 in words is "ten million, six hundred seventy-seven thousand, six hundred seventy-two".