58629649 has 27 divisors (see below), whose sum is σ = 69234939. Its totient is φ = 49617360.

The previous prime is 58629643. The next prime is 58629661. The reversal of 58629649 is 94692685.

The square root of 58629649 is 7657.

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., 8673025 + 49956624 = 2945^2 + 7068^2 .

It is not a de Polignac number, because 58629649 - 2¹¹ = 58627601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58629643) 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, 1891264 + ... + 1891294.

It is an arithmetic number, because the mean of its divisors is an integer number (2564257).

Almost surely, 2^58629649 is an apocalyptic number.

58629649 is the 7657-th square number.

58629649 is the 3829-th centered octagonal number.

It is an amenable number.

58629649 is a deficient number, since it is larger than the sum of its proper divisors (10605290).

58629649 is a wasteful number, since it uses less digits than its factorization.

58629649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 63 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The cubic root of 58629649 is about 388.4833690340.

Multiplying 58629649 by its sum of digits (49), we get a square (2872852801 = 53599²).

The spelling of 58629649 in words is "fifty-eight million, six hundred twenty-nine thousand, six hundred forty-nine".