61248688 has 40 divisors (see below), whose sum is σ = 127210608. Its totient is φ = 28465152.

The previous prime is 61248673. The next prime is 61248689. The reversal of 61248688 is 88684216.

It is not an unprimeable number, because it can be changed into a prime (61248689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21220 + ... + 23932.

Almost surely, 2^61248688 is an apocalyptic number.

61248688 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61248688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63605304).

61248688 is an abundant number, since it is smaller than the sum of its proper divisors (65961920).

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

61248688 is a wasteful number, since it uses less digits than its factorization.

61248688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2815 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 61248688 is about 7826.1541001951. The cubic root of 61248688 is about 394.1839435881.

Subtracting 61248688 from its reverse (88684216), we obtain a triangular number (27435528 = T₇₄₀₇).

The spelling of 61248688 in words is "sixty-one million, two hundred forty-eight thousand, six hundred eighty-eight".