61466700 has 72 divisors (see below), whose sum is σ = 178669120. Its totient is φ = 16315200.

The previous prime is 61466687. The next prime is 61466701. The reversal of 61466700 is 766416.

61466700 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 not an unprimeable number, because it can be changed into a prime (61466701) 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 23 ways as a sum of consecutive naturals, for example, 98991 + ... + 99609.

Almost surely, 2^61466700 is an apocalyptic number.

61466700 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 61466700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89334560).

61466700 is an abundant number, since it is smaller than the sum of its proper divisors (117202420).

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

61466700 is a wasteful number, since it uses less digits than its factorization.

61466700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 61466700 is about 7840.0701527474. The cubic root of 61466700 is about 394.6510832177.

The spelling of 61466700 in words is "sixty-one million, four hundred sixty-six thousand, seven hundred".