1027764416 has 168 divisors, whose sum is σ = 2557393920. Its totient is φ = 407296512.

The previous prime is 1027764383. The next prime is 1027764433. The reversal of 1027764416 is 6144677201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 1027764416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2800265 + ... + 2800631.

Almost surely, 2^1027764416 is an apocalyptic number.

1027764416 is a gapful number since it is divisible by the number (16) 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 1027764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278696960).

1027764416 is an abundant number, since it is smaller than the sum of its proper divisors (1529629504).

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

1027764416 is a wasteful number, since it uses less digits than its factorization.

1027764416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 1027764416 is about 32058.7650417168. The cubic root of 1027764416 is about 1009.1704510905.

The spelling of 1027764416 in words is "one billion, twenty-seven million, seven hundred sixty-four thousand, four hundred sixteen".