1016146240 has 56 divisors (see below), whose sum is σ = 2424467592. Its totient is φ = 405657600.

The previous prime is 1016146237. The next prime is 1016146247. The reversal of 1016146240 is 426416101.

It can be written as a sum of positive squares in 4 ways, for example, as 73410624 + 942735616 = 8568^2 + 30704^2 .

It is a super-2 number, since 2×1016146240² = 2065106362132275200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016146247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175390 + ... + 181090.

Almost surely, 2^1016146240 is an apocalyptic number.

1016146240 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 1016146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212233796).

1016146240 is an abundant number, since it is smaller than the sum of its proper divisors (1408321352).

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

1016146240 is an equidigital number, since it uses as much as digits as its factorization.

1016146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6275 (or 6265 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1016146240 is about 31877.0487969009. The cubic root of 1016146240 is about 1005.3533702866.

The spelling of 1016146240 in words is "one billion, sixteen million, one hundred forty-six thousand, two hundred forty".