61951400 has 192 divisors, whose sum is σ = 184809600. Its totient is φ = 18800640.

The previous prime is 61951367. The next prime is 61951403. The reversal of 61951400 is 415916.

61951400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61951400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61951403) 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 47 ways as a sum of consecutive naturals, for example, 452132 + ... + 452268.

It is an arithmetic number, because the mean of its divisors is an integer number (962550).

Almost surely, 2^61951400 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 61951400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92404800).

61951400 is an abundant number, since it is smaller than the sum of its proper divisors (122858200).

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

61951400 is a wasteful number, since it uses less digits than its factorization.

61951400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 61951400 is about 7870.9211659119. The cubic root of 61951400 is about 395.6857180572.

The spelling of 61951400 in words is "sixty-one million, nine hundred fifty-one thousand, four hundred".