61248128 has 32 divisors (see below), whose sum is σ = 123300660. Its totient is φ = 30302208.

The previous prime is 61248101. The next prime is 61248139. The reversal of 61248128 is 82184216.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60341824 + 906304 = 7768^2 + 952^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 61248094 and 61248103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9950 + ... + 14882.

Almost surely, 2^61248128 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 61248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61650330).

61248128 is an abundant number, since it is smaller than the sum of its proper divisors (62052532).

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

61248128 is an equidigital number, since it uses as much as digits as its factorization.

61248128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044 (or 5032 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 61248128 is about 7826.1183226425. The cubic root of 61248128 is about 394.1827422362.

The spelling of 61248128 in words is "sixty-one million, two hundred forty-eight thousand, one hundred twenty-eight".