61653900 has 288 divisors, whose sum is σ = 236984832. Its totient is φ = 11980800.

The previous prime is 61653871. The next prime is 61653901. The reversal of 61653900 is 935616.

It is a happy number.

61653900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61653901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392622 + ... + 392778.

It is an arithmetic number, because the mean of its divisors is an integer number (822864).

Almost surely, 2^61653900 is an apocalyptic number.

61653900 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 61653900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118492416).

61653900 is an abundant number, since it is smaller than the sum of its proper divisors (175330932).

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

61653900 is a wasteful number, since it uses less digits than its factorization.

61653900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 61653900 is about 7851.9997452878. Note that the first 3 decimals coincide. The cubic root of 61653900 is about 395.0513205764.

The spelling of 61653900 in words is "sixty-one million, six hundred fifty-three thousand, nine hundred".