61977600 has 198 divisors, whose sum is σ = 222734070. Its totient is φ = 16465920.

The previous prime is 61977569. The next prime is 61977607. The reversal of 61977600 is 677916.

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 61968384 = 96^2 + 7872^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61977607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230266 + ... + 230534.

Almost surely, 2^61977600 is an apocalyptic number.

61977600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111367035).

61977600 is an abundant number, since it is smaller than the sum of its proper divisors (160756470).

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

61977600 is a wasteful number, since it uses less digits than its factorization.

61977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 61977600 is about 7872.5853440912. The cubic root of 61977600 is about 395.7414902954.

The spelling of 61977600 in words is "sixty-one million, nine hundred seventy-seven thousand, six hundred".