61825248 has 96 divisors (see below), whose sum is σ = 181843200. Its totient is φ = 20435328.

The previous prime is 61825241. The next prime is 61825249. The reversal of 61825248 is 84252816.

61825248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×61825248² = 7644722580523008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61825241) 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 15 ways as a sum of consecutive naturals, for example, 140613 + ... + 141051.

It is an arithmetic number, because the mean of its divisors is an integer number (1894200).

Almost surely, 2^61825248 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 61825248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90921600).

61825248 is an abundant number, since it is smaller than the sum of its proper divisors (120017952).

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

61825248 is a wasteful number, since it uses less digits than its factorization.

61825248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 607 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 61825248 is about 7862.9032805955. The cubic root of 61825248 is about 395.4169564964.

The spelling of 61825248 in words is "sixty-one million, eight hundred twenty-five thousand, two hundred forty-eight".