61577607 has 32 divisors (see below), whose sum is σ = 101624320. Its totient is φ = 32296320.

The previous prime is 61577603. The next prime is 61577653. The reversal of 61577607 is 70677516.

It is not a de Polignac number, because 61577607 - 2² = 61577603 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61577603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57069 + ... + 58137.

It is an arithmetic number, because the mean of its divisors is an integer number (3175760).

Almost surely, 2^61577607 is an apocalyptic number.

61577607 is a deficient number, since it is larger than the sum of its proper divisors (40046713).

61577607 is a wasteful number, since it uses less digits than its factorization.

61577607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303.

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 61577607 is about 7847.1400522738. The cubic root of 61577607 is about 394.8883025518. Note that the first 3 decimals are identical.

Subtracting 61577607 from its reverse (70677516), we obtain a palindrome (9099909).

The spelling of 61577607 in words is "sixty-one million, five hundred seventy-seven thousand, six hundred seven".