1077648 has 80 divisors (see below), whose sum is σ = 3291456. Its totient is φ = 299520.

The previous prime is 1077641. The next prime is 1077673. The reversal of 1077648 is 8467701.

It is a super-2 number, since 2×1077648² = 2322650423808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1077641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6786 + ... + 6942.

2^1077648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645728).

1077648 is an abundant number, since it is smaller than the sum of its proper divisors (2213808).

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

1077648 is a wasteful number, since it uses less digits than its factorization.

1077648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1077648 is about 1038.0982612451. The cubic root of 1077648 is about 102.5240237165.

The spelling of 1077648 in words is "one million, seventy-seven thousand, six hundred forty-eight".