10612080 has 160 divisors (see below), whose sum is σ = 38836800. Its totient is φ = 2663424.

The previous prime is 10612079. The next prime is 10612087. The reversal of 10612080 is 8021601.

10612080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10612080² = 225232483852800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10612087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624232 + ... + 624248.

It is an arithmetic number, because the mean of its divisors is an integer number (242730).

Almost surely, 2^10612080 is an apocalyptic number.

10612080 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 10612080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19418400).

10612080 is an abundant number, since it is smaller than the sum of its proper divisors (28224720).

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

10612080 is an equidigital number, since it uses as much as digits as its factorization.

10612080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10612080 is about 3257.6187622249. The cubic root of 10612080 is about 219.7523383833.

Adding to 10612080 its reverse (8021601), we get a palindrome (18633681).

The spelling of 10612080 in words is "ten million, six hundred twelve thousand, eighty".