10147680 has 192 divisors, whose sum is σ = 37195200. Its totient is φ = 2612736.

The previous prime is 10147673. The next prime is 10147693. The reversal of 10147680 is 8674101.

It is a happy number.

10147680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349906 + ... + 349934.

It is an arithmetic number, because the mean of its divisors is an integer number (193725).

Almost surely, 2^10147680 is an apocalyptic number.

10147680 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 10147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597600).

10147680 is an abundant number, since it is smaller than the sum of its proper divisors (27047520).

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

10147680 is an frugal number, since it uses more digits than its factorization.

10147680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 39 counting only the distinct ones).

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

The square root of 10147680 is about 3185.5423400106. The cubic root of 10147680 is about 216.4988470373.

The spelling of 10147680 in words is "ten million, one hundred forty-seven thousand, six hundred eighty".