1016561340 has 216 divisors, whose sum is σ = 3280123392. Its totient is φ = 264539520.

The previous prime is 1016561309. The next prime is 1016561353. The reversal of 1016561340 is 431656101.

1016561340 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 5 + 613 + 40 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8004357 + ... + 8004483.

Almost surely, 2^1016561340 is an apocalyptic number.

1016561340 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 1016561340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640061696).

1016561340 is an abundant number, since it is smaller than the sum of its proper divisors (2263562052).

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

1016561340 is an equidigital number, since it uses as much as digits as its factorization.

1016561340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1016561340 is about 31883.5590861497. The cubic root of 1016561340 is about 1005.4902486723.

The spelling of 1016561340 in words is "one billion, sixteen million, five hundred sixty-one thousand, three hundred forty".