1077583216 has 40 divisors (see below), whose sum is σ = 2212920864. Its totient is φ = 506572800.

The previous prime is 1077583211. The next prime is 1077583231. The reversal of 1077583216 is 6123857701.

It is a super-2 number, since 2×1077583216² = 2322371174809805312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077583211) 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 7 ways as a sum of consecutive naturals, for example, 421141 + ... + 423691.

Almost surely, 2^1077583216 is an apocalyptic number.

1077583216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1077583216 is an abundant number, since it is smaller than the sum of its proper divisors (1135337648).

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

1077583216 is a wasteful number, since it uses less digits than its factorization.

1077583216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 1077583216 is about 32826.5626589200. The cubic root of 1077583216 is about 1025.2196922706.

The spelling of 1077583216 in words is "one billion, seventy-seven million, five hundred eighty-three thousand, two hundred sixteen".