61777632 has 144 divisors (see below), whose sum is σ = 197188992. Its totient is φ = 16853760.

The previous prime is 61777631. The next prime is 61777663. The reversal of 61777632 is 23677716.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61777631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107907 + ... + 108477.

It is an arithmetic number, because the mean of its divisors is an integer number (1369368).

Almost surely, 2^61777632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61777632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98594496).

61777632 is an abundant number, since it is smaller than the sum of its proper divisors (135411360).

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

61777632 is a wasteful number, since it uses less digits than its factorization.

61777632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 606 counting only the distinct ones).

The product of its digits is 74088, while the sum is 39.

The square root of 61777632 is about 7859.8748081633. The cubic root of 61777632 is about 395.3154175614.

The spelling of 61777632 in words is "sixty-one million, seven hundred seventy-seven thousand, six hundred thirty-two".