61200576 has 112 divisors (see below), whose sum is σ = 182148480. Its totient is φ = 20148480.

The previous prime is 61200569. The next prime is 61200599. The reversal of 61200576 is 67500216.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184731 + ... + 185061.

Almost surely, 2^61200576 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 61200576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91074240).

61200576 is an abundant number, since it is smaller than the sum of its proper divisors (120947904).

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

61200576 is a wasteful number, since it uses less digits than its factorization.

61200576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 61200576 is about 7823.0797004760. The cubic root of 61200576 is about 394.0807035761.

It can be divided in two parts, 61200 and 576, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 61200576 in words is "sixty-one million, two hundred thousand, five hundred seventy-six".