61766400 has 108 divisors (see below), whose sum is σ = 203905352. Its totient is φ = 16465920.

The previous prime is 61766381. The next prime is 61766407. The reversal of 61766400 is 466716.

61766400 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 (61766407) 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 11 ways as a sum of consecutive naturals, for example, 17592 + ... + 20808.

Almost surely, 2^61766400 is an apocalyptic number.

61766400 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 61766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101952676).

61766400 is an abundant number, since it is smaller than the sum of its proper divisors (142138952).

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

61766400 is a wasteful number, since it uses less digits than its factorization.

61766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3227 counting only the distinct ones).

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

The square root of 61766400 is about 7859.1602604858. The cubic root of 61766400 is about 395.2914582321.

The spelling of 61766400 in words is "sixty-one million, seven hundred sixty-six thousand, four hundred".