61250688 has 128 divisors (see below), whose sum is σ = 186048000. Its totient is φ = 19823616.

The previous prime is 61250687. The next prime is 61250689. The reversal of 61250688 is 88605216.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61250687) and next prime (61250689).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (61250687) 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 15 ways as a sum of consecutive naturals, for example, 127633 + ... + 128111.

It is an arithmetic number, because the mean of its divisors is an integer number (1453500).

Almost surely, 2^61250688 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 61250688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93024000).

61250688 is an abundant number, since it is smaller than the sum of its proper divisors (124797312).

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

61250688 is a wasteful number, since it uses less digits than its factorization.

61250688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 61250688 is about 7826.2818758335. The cubic root of 61250688 is about 394.1882340708.

The spelling of 61250688 in words is "sixty-one million, two hundred fifty thousand, six hundred eighty-eight".