1077241248 has 192 divisors, whose sum is σ = 3309465600. Its totient is φ = 340243200.

The previous prime is 1077241219. The next prime is 1077241283. The reversal of 1077241248 is 8421427701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3000493 + ... + 3000851.

It is an arithmetic number, because the mean of its divisors is an integer number (17236800).

Almost surely, 2^1077241248 is an apocalyptic number.

1077241248 is a gapful number since it is divisible by the number (18) 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 1077241248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654732800).

1077241248 is an abundant number, since it is smaller than the sum of its proper divisors (2232224352).

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

1077241248 is a wasteful number, since it uses less digits than its factorization.

1077241248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1077241248 is about 32821.3535369887. The cubic root of 1077241248 is about 1025.1112306021. Note that the first 3 decimals are identical.

Adding to 1077241248 its reverse (8421427701), we get a palindrome (9498668949).

The spelling of 1077241248 in words is "one billion, seventy-seven million, two hundred forty-one thousand, two hundred forty-eight".