61706400 has 144 divisors (see below), whose sum is σ = 229610304. Its totient is φ = 14100480.

The previous prime is 61706387. The next prime is 61706467. The reversal of 61706400 is 460716.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14964 + ... + 18636.

It is an arithmetic number, because the mean of its divisors is an integer number (1594516).

Almost surely, 2^61706400 is an apocalyptic number.

61706400 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 61706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114805152).

61706400 is an abundant number, since it is smaller than the sum of its proper divisors (167903904).

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

61706400 is a wasteful number, since it uses less digits than its factorization.

61706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 61706400 is about 7855.3421313142. The cubic root of 61706400 is about 395.1634211365.

The spelling of 61706400 in words is "sixty-one million, seven hundred six thousand, four hundred".