10468080 has 240 divisors, whose sum is σ = 42092544. Its totient is φ = 2280960.

The previous prime is 10468067. The next prime is 10468097. The reversal of 10468080 is 8086401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156207 + ... + 156273.

Almost surely, 2^10468080 is an apocalyptic number.

10468080 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 10468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21046272).

10468080 is an abundant number, since it is smaller than the sum of its proper divisors (31624464).

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

10468080 is a wasteful number, since it uses less digits than its factorization.

10468080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10468080 is about 3235.4412372967. The cubic root of 10468080 is about 218.7538361232.

The spelling of 10468080 in words is "ten million, four hundred sixty-eight thousand, eighty".