1027787640 has 128 divisors (see below), whose sum is σ = 3472312320. Its totient is φ = 241113600.

The previous prime is 1027787633. The next prime is 1027787647. The reversal of 1027787640 is 467877201.

It is an interprime number because it is at equal distance from previous prime (1027787633) and next prime (1027787647).

It is a junction number, because it is equal to n+sod(n) for n = 1027787592 and 1027787601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027787647) 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, 28362 + ... + 53478.

It is an arithmetic number, because the mean of its divisors is an integer number (27127440).

Almost surely, 2^1027787640 is an apocalyptic number.

1027787640 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 1027787640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736156160).

1027787640 is an abundant number, since it is smaller than the sum of its proper divisors (2444524680).

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

1027787640 is a wasteful number, since it uses less digits than its factorization.

1027787640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25173 (or 25169 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 1027787640 is about 32059.1272495057. The cubic root of 1027787640 is about 1009.1780523130.

The spelling of 1027787640 in words is "one billion, twenty-seven million, seven hundred eighty-seven thousand, six hundred forty".