10920672 has 72 divisors (see below), whose sum is σ = 35498736. Its totient is φ = 3119616.

The previous prime is 10920671. The next prime is 10920673. The reversal of 10920672 is 27602901.

It is an interprime number because it is at equal distance from previous prime (10920671) and next prime (10920673).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×10920672³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10920671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 693 + ... + 4724.

It is an arithmetic number, because the mean of its divisors is an integer number (493038).

Almost surely, 2^10920672 is an apocalyptic number.

10920672 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 10920672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17749368).

10920672 is an abundant number, since it is smaller than the sum of its proper divisors (24578064).

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

10920672 is a wasteful number, since it uses less digits than its factorization.

10920672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10920672 is about 3304.6440050329. The cubic root of 10920672 is about 221.8621008701.

It can be divided in two parts, 109206 and 72, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 10920672 in words is "ten million, nine hundred twenty thousand, six hundred seventy-two".