10061640 has 96 divisors (see below), whose sum is σ = 34444800. Its totient is φ = 2540160.

The previous prime is 10061629. The next prime is 10061647. The reversal of 10061640 is 4616001.

10061640 is a `hidden beast` number, since 10 + 0 + 616 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10061647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6105 + ... + 7575.

It is an arithmetic number, because the mean of its divisors is an integer number (358800).

Almost surely, 2^10061640 is an apocalyptic number.

10061640 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 10061640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17222400).

10061640 is an abundant number, since it is smaller than the sum of its proper divisors (24383160).

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

10061640 is a wasteful number, since it uses less digits than its factorization.

10061640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10061640 is about 3172.0088272261. The cubic root of 10061640 is about 215.8852270914.

Adding to 10061640 its reverse (4616001), we get a palindrome (14677641).

It can be divided in two parts, 10061 and 640, that added together give a palindrome (10701).

The spelling of 10061640 in words is "ten million, sixty-one thousand, six hundred forty".