61649500 has 72 divisors (see below), whose sum is σ = 148140720. Its totient is φ = 22396000.

The previous prime is 61649479. The next prime is 61649501. The reversal of 61649500 is 594616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61649501) 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, 59991 + ... + 61009.

It is an arithmetic number, because the mean of its divisors is an integer number (2057510).

Almost surely, 2^61649500 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 61649500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74070360).

61649500 is an abundant number, since it is smaller than the sum of its proper divisors (86491220).

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

61649500 is a wasteful number, since it uses less digits than its factorization.

61649500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 61649500 is about 7851.7195568869. The cubic root of 61649500 is about 395.0419225921.

The spelling of 61649500 in words is "sixty-one million, six hundred forty-nine thousand, five hundred".