61577142 has 48 divisors (see below), whose sum is σ = 137032560. Its totient is φ = 18430720.

The previous prime is 61577123. The next prime is 61577143. The reversal of 61577142 is 24177516.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61577143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64138 + ... + 65090.

It is an arithmetic number, because the mean of its divisors is an integer number (2854845).

Almost surely, 2^61577142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61577142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68516280).

61577142 is an abundant number, since it is smaller than the sum of its proper divisors (75455418).

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

61577142 is a wasteful number, since it uses less digits than its factorization.

61577142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1058 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 61577142 is about 7847.1104235891. The cubic root of 61577142 is about 394.8873085567.

The spelling of 61577142 in words is "sixty-one million, five hundred seventy-seven thousand, one hundred forty-two".