1077243552 has 288 divisors, whose sum is σ = 3945037824. Its totient is φ = 270604800.

The previous prime is 1077243527. The next prime is 1077243569. The reversal of 1077243552 is 2553427701.

1077243552 is a `hidden beast` number, since 10 + 77 + 24 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686673 + ... + 688239.

It is an arithmetic number, because the mean of its divisors is an integer number (13698048).

Almost surely, 2^1077243552 is an apocalyptic number.

1077243552 is a gapful number since it is divisible by the number (12) 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 1077243552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972518912).

1077243552 is an abundant number, since it is smaller than the sum of its proper divisors (2867794272).

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

1077243552 is a wasteful number, since it uses less digits than its factorization.

1077243552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 1077243552 is about 32821.3886360708. The cubic root of 1077243552 is about 1025.1119614364. Note that the first 3 decimals are identical.

The spelling of 1077243552 in words is "one billion, seventy-seven million, two hundred forty-three thousand, five hundred fifty-two".