61577856 has 48 divisors (see below), whose sum is σ = 177200010. Its totient is φ = 20525568.

The previous prime is 61577851. The next prime is 61577861. The reversal of 61577856 is 65877516.

It is an interprime number because it is at equal distance from previous prime (61577851) and next prime (61577861).

It can be written as a sum of positive squares in only one way, i.e., 50126400 + 11451456 = 7080^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (61577851) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25575 + ... + 27878.

Almost surely, 2^61577856 is an apocalyptic number.

It is an amenable number.

61577856 is an abundant number, since it is smaller than the sum of its proper divisors (115622154).

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

61577856 is a wasteful number, since it uses less digits than its factorization.

61577856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53473 (or 53458 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 61577856 is about 7847.1559179106. The cubic root of 61577856 is about 394.8888348181. Note that the first 4 decimals are identical.

The spelling of 61577856 in words is "sixty-one million, five hundred seventy-seven thousand, eight hundred fifty-six".