1020977672 has 108 divisors (see below), whose sum is σ = 2307702285. Its totient is φ = 422959680.

The previous prime is 1020977641. The next prime is 1020977677. The reversal of 1020977672 is 2767790201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 872966116 + 148011556 = 29546^2 + 12166^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=22594.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020977677) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12923729 + ... + 12923807.

Almost surely, 2^1020977672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020977672

1020977672 is an abundant number, since it is smaller than the sum of its proper divisors (1286724613).

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

1020977672 is a wasteful number, since it uses less digits than its factorization.

1020977672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 41.

The square root of 1020977672 is about 31952.7412282577. The cubic root of 1020977672 is about 1006.9442234717.

The spelling of 1020977672 in words is "one billion, twenty million, nine hundred seventy-seven thousand, six hundred seventy-two".