60824401 has 9 divisors (see below), whose sum is σ = 66951003. Its totient is φ = 55216920.

The previous prime is 60824399. The next prime is 60824431. The reversal of 60824401 is 10442806.

The square root of 60824401 is 7799.

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

It can be written as a sum of positive squares in only one way, i.e., 8116801 + 52707600 = 2849^2 + 7260^2 .

It is not a de Polignac number, because 60824401 - 2¹ = 60824399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (60824431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85435 + ... + 86143.

Almost surely, 2^60824401 is an apocalyptic number.

60824401 is the 7799-th square number.

60824401 is the 3900-th centered octagonal number.

It is an amenable number.

60824401 is a deficient number, since it is larger than the sum of its proper divisors (6126602).

60824401 is an frugal number, since it uses more digits than its factorization.

60824401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The cubic root of 60824401 is about 393.2716257851.

Multiplying 60824401 by its sum of digits (25), we get a square (1520610025 = 38995²).

The spelling of 60824401 in words is "sixty million, eight hundred twenty-four thousand, four hundred one".