61266400 has 144 divisors (see below), whose sum is σ = 166020624. Its totient is φ = 21934080.

The previous prime is 61266391. The next prime is 61266421. The reversal of 61266400 is 466216.

61266400 = T₁₆₀ + T₁₆₁ + ... + T₇₁₈.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447132 + ... + 447268.

It is an arithmetic number, because the mean of its divisors is an integer number (1152921).

Almost surely, 2^61266400 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 61266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83010312).

61266400 is an abundant number, since it is smaller than the sum of its proper divisors (104754224).

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

61266400 is a wasteful number, since it uses less digits than its factorization.

61266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 61266400 is about 7827.2856086896. The cubic root of 61266400 is about 394.2219368542.

The spelling of 61266400 in words is "sixty-one million, two hundred sixty-six thousand, four hundred".