10076160 has 120 divisors (see below), whose sum is σ = 33029136. Its totient is φ = 2621440.

The previous prime is 10076159. The next prime is 10076161. The reversal of 10076160 is 6167001.

It is an interprime number because it is at equal distance from previous prime (10076159) and next prime (10076161).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10076161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245740 + ... + 245780.

Almost surely, 2^10076160 is an apocalyptic number.

10076160 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 10076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514568).

10076160 is an abundant number, since it is smaller than the sum of its proper divisors (22952976).

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

10076160 is an frugal number, since it uses more digits than its factorization.

10076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10076160 is about 3174.2967725151. The cubic root of 10076160 is about 215.9890255055.

The spelling of 10076160 in words is "ten million, seventy-six thousand, one hundred sixty".