1010165640 has 128 divisors (see below), whose sum is σ = 3339169920. Its totient is φ = 242432000.

The previous prime is 1010165623. The next prime is 1010165641. The reversal of 1010165640 is 465610101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1010165640.

It is not an unprimeable number, because it can be changed into a prime (1010165641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129532 + ... + 137108.

It is an arithmetic number, because the mean of its divisors is an integer number (26087265).

Almost surely, 2^1010165640 is an apocalyptic number.

1010165640 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 1010165640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669584960).

1010165640 is an abundant number, since it is smaller than the sum of its proper divisors (2329004280).

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

1010165640 is a wasteful number, since it uses less digits than its factorization.

1010165640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7703 (or 7699 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1010165640 is about 31783.1030580716. The cubic root of 1010165640 is about 1003.3771288288.

Adding to 1010165640 its reverse (465610101), we get a palindrome (1475775741).

The spelling of 1010165640 in words is "one billion, ten million, one hundred sixty-five thousand, six hundred forty".