61251876 has 120 divisors (see below), whose sum is σ = 185391360. Its totient is φ = 17273088.

The previous prime is 61251871. The next prime is 61251887. The reversal of 61251876 is 67815216.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61251876.

It is not an unprimeable number, because it can be changed into a prime (61251871) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 256165 + ... + 256403.

It is an arithmetic number, because the mean of its divisors is an integer number (1544928).

Almost surely, 2^61251876 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 61251876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92695680).

61251876 is an abundant number, since it is smaller than the sum of its proper divisors (124139484).

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

61251876 is a wasteful number, since it uses less digits than its factorization.

61251876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 61251876 is about 7826.3577735751. The cubic root of 61251876 is about 394.1907825733.

It can be divided in two parts, 6125 and 1876, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 61251876 in words is "sixty-one million, two hundred fifty-one thousand, eight hundred seventy-six".