1077947136 has 144 divisors (see below), whose sum is σ = 3643225600. Its totient is φ = 307971072.

The previous prime is 1077947131. The next prime is 1077947147. The reversal of 1077947136 is 6317497701.

It is a happy number.

1077947136 is a `hidden beast` number, since 107 + 79 + 471 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1077947091 and 1077947100.

It is not an unprimeable number, because it can be changed into a prime (1077947131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37245 + ... + 59523.

Almost surely, 2^1077947136 is an apocalyptic number.

1077947136 is a gapful number since it is divisible by the number (16) 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 1077947136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821612800).

1077947136 is an abundant number, since it is smaller than the sum of its proper divisors (2565278464).

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

1077947136 is an equidigital number, since it uses as much as digits as its factorization.

1077947136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22311 (or 22291 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 1077947136 is about 32832.1052629892. The cubic root of 1077947136 is about 1025.3350912338.

The spelling of 1077947136 in words is "one billion, seventy-seven million, nine hundred forty-seven thousand, one hundred thirty-six".