10040160 has 96 divisors (see below), whose sum is σ = 34080480. Its totient is φ = 2469888.

The previous prime is 10040137. The next prime is 10040171. The reversal of 10040160 is 6104001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5436 + ... + 7044.

It is an arithmetic number, because the mean of its divisors is an integer number (355005).

Almost surely, 2^10040160 is an apocalyptic number.

10040160 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 10040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17040240).

10040160 is an abundant number, since it is smaller than the sum of its proper divisors (24040320).

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

10040160 is a wasteful number, since it uses less digits than its factorization.

10040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10040160 is about 3168.6211512265. The cubic root of 10040160 is about 215.7314907720.

Adding to 10040160 its reverse (6104001), we get a palindrome (16144161).

The spelling of 10040160 in words is "ten million, forty thousand, one hundred sixty".