10478160 has 360 divisors, whose sum is σ = 46309536. Its totient is φ = 2177280.

The previous prime is 10478113. The next prime is 10478161. The reversal of 10478160 is 6187401.

It is a happy number.

10478160 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 tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10478161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 952555 + ... + 952565.

Almost surely, 2^10478160 is an apocalyptic number.

10478160 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 10478160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

10478160 is an abundant number, since it is smaller than the sum of its proper divisors (35831376).

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

10478160 is a wasteful number, since it uses less digits than its factorization.

10478160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10478160 is about 3236.9986098236. The cubic root of 10478160 is about 218.8240282782.

The spelling of 10478160 in words is "ten million, four hundred seventy-eight thousand, one hundred sixty".