61377400 has 72 divisors (see below), whose sum is σ = 166027320. Its totient is φ = 21040320.

The previous prime is 61377389. The next prime is 61377431. The reversal of 61377400 is 477316.

61377400 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 (28).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 6669 + ... + 12931.

It is an arithmetic number, because the mean of its divisors is an integer number (2305935).

Almost surely, 2^61377400 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 61377400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83013660).

61377400 is an abundant number, since it is smaller than the sum of its proper divisors (104649920).

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

61377400 is a wasteful number, since it uses less digits than its factorization.

61377400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 61377400 is about 7834.3729806539. The cubic root of 61377400 is about 394.4598717030.

The spelling of 61377400 in words is "sixty-one million, three hundred seventy-seven thousand, four hundred".