601769961 has 81 divisors (see below), whose sum is σ = 1027606671. Its totient is φ = 339116544.

The previous prime is 601769929. The next prime is 601770049. The reversal of 601769961 is 169967106.

601769961 = 1³ + 2³ + ... + 221³.

The square root of 601769961 is 24531.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 102515625 + 499254336 = 10125^2 + 22344^2 .

It is not a de Polignac number, because 601769961 - 2⁵ = 601769929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (601769911) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16264035 + ... + 16264071.

Almost surely, 2^601769961 is an apocalyptic number.

601769961 is the 24531-st square number.

601769961 is the 12266-th centered octagonal number.

It is an amenable number.

601769961 is a deficient number, since it is larger than the sum of its proper divisors (425836710).

601769961 is a wasteful number, since it uses less digits than its factorization.

601769961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The cubic root of 601769961 is about 844.2612082989.

It can be divided in two parts, 60 and 1769961, that added together give a triangular number (1770021 = T₁₈₈₁).

The spelling of 601769961 in words is "six hundred one million, seven hundred sixty-nine thousand, nine hundred sixty-one".