1077672064 has 64 divisors (see below), whose sum is σ = 2520020160. Its totient is φ = 449362944.

The previous prime is 1077672059. The next prime is 1077672067. The reversal of 1077672064 is 4602767701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1077672064² = 2322754155052040192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1077672067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16899 + ... + 49405.

It is an arithmetic number, because the mean of its divisors is an integer number (39375315).

Almost surely, 2^1077672064 is an apocalyptic number.

1077672064 is a gapful number since it is divisible by the number (14) 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 1077672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260010080).

1077672064 is an abundant number, since it is smaller than the sum of its proper divisors (1442348096).

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

1077672064 is an equidigital number, since it uses as much as digits as its factorization.

1077672064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32565 (or 32553 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 1077672064 is about 32827.9159253219. The cubic root of 1077672064 is about 1025.2478683516.

The spelling of 1077672064 in words is "one billion, seventy-seven million, six hundred seventy-two thousand, sixty-four".