61649600 has 84 divisors (see below), whose sum is σ = 154771344. Its totient is φ = 24161280.

The previous prime is 61649593. The next prime is 61649639. The reversal of 61649600 is 694616.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84437 + ... + 85163.

It is an arithmetic number, because the mean of its divisors is an integer number (1842516).

Almost surely, 2^61649600 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 61649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77385672).

61649600 is an abundant number, since it is smaller than the sum of its proper divisors (93121744).

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

61649600 is a wasteful number, since it uses less digits than its factorization.

61649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 61649600 is about 7851.7259249161. The cubic root of 61649600 is about 395.0421361876.

The spelling of 61649600 in words is "sixty-one million, six hundred forty-nine thousand, six hundred".