1077529968 has 60 divisors (see below), whose sum is σ = 3044906800. Its totient is φ = 355684608.

The previous prime is 1077529963. The next prime is 1077529969. The reversal of 1077529968 is 8699257701.

1077529968 is a `hidden beast` number, since 107 + 7 + 529 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×1077529968² = 2322141663876162048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077529963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21493 + ... + 51156.

Almost surely, 2^1077529968 is an apocalyptic number.

1077529968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1077529968 is an abundant number, since it is smaller than the sum of its proper divisors (1967376832).

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

1077529968 is a wasteful number, since it uses less digits than its factorization.

1077529968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72766 (or 72757 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 1077529968 is about 32825.7515984021. The cubic root of 1077529968 is about 1025.2028051611.

The spelling of 1077529968 in words is "one billion, seventy-seven million, five hundred twenty-nine thousand, nine hundred sixty-eight".