10354080 has 192 divisors, whose sum is σ = 37231488. Its totient is φ = 2396160.

The previous prime is 10354067. The next prime is 10354081. The reversal of 10354080 is 8045301.

It is a super-3 number, since 3×10354080³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10354081) 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, 195334 + ... + 195386.

It is an arithmetic number, because the mean of its divisors is an integer number (193914).

Almost surely, 2^10354080 is an apocalyptic number.

10354080 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 10354080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744).

10354080 is an abundant number, since it is smaller than the sum of its proper divisors (26877408).

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

10354080 is a wasteful number, since it uses less digits than its factorization.

10354080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10354080 is about 3217.7756292197. The cubic root of 10354080 is about 217.9568413285.

Adding to 10354080 its reverse (8045301), we get a palindrome (18399381).

It can be divided in two parts, 1035 and 4080, that added together give a palindrome (5115).

The spelling of 10354080 in words is "ten million, three hundred fifty-four thousand, eighty".