10293408 has 72 divisors (see below), whose sum is σ = 29641248. Its totient is φ = 3388032.

The previous prime is 10293407. The next prime is 10293431. The reversal of 10293408 is 80439201.

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

It is not an unprimeable number, because it can be changed into a prime (10293407) 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, 29491 + ... + 29837.

It is an arithmetic number, because the mean of its divisors is an integer number (411684).

Almost surely, 2^10293408 is an apocalyptic number.

10293408 is a gapful number since it is divisible by the number (18) 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 10293408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820624).

10293408 is an abundant number, since it is smaller than the sum of its proper divisors (19347840).

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

10293408 is a wasteful number, since it uses less digits than its factorization.

10293408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10293408 is about 3208.3341471860. The cubic root of 10293408 is about 217.5302851209.

It can be divided in two parts, 10293 and 408, that added together give a palindrome (10701).

The spelling of 10293408 in words is "ten million, two hundred ninety-three thousand, four hundred eight".