1016342640 has 320 divisors, whose sum is σ = 3662920320. Its totient is φ = 262020096.

The previous prime is 1016342611. The next prime is 1016342641. The reversal of 1016342640 is 462436101.

1016342640 is a `hidden beast` number, since 1 + 0 + 1 + 634 + 26 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016342641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6473442 + ... + 6473598.

It is an arithmetic number, because the mean of its divisors is an integer number (11446626).

Almost surely, 2^1016342640 is an apocalyptic number.

1016342640 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 1016342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831460160).

1016342640 is an abundant number, since it is smaller than the sum of its proper divisors (2646577680).

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

1016342640 is an equidigital number, since it uses as much as digits as its factorization.

1016342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1016342640 is about 31880.1292343679. The cubic root of 1016342640 is about 1005.4181374347.

Adding to 1016342640 its reverse (462436101), we get a palindrome (1478778741).

The spelling of 1016342640 in words is "one billion, sixteen million, three hundred forty-two thousand, six hundred forty".