61018848 has 216 divisors, whose sum is σ = 203911344. Its totient is φ = 17233920.

The previous prime is 61018817. The next prime is 61018873. The reversal of 61018848 is 84881016.

It is a super-2 number, since 2×61018848² = 7446599622494208, 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 an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 592365 + ... + 592467.

It is an arithmetic number, because the mean of its divisors is an integer number (944034).

Almost surely, 2^61018848 is an apocalyptic number.

61018848 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 61018848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101955672).

61018848 is an abundant number, since it is smaller than the sum of its proper divisors (142892496).

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

61018848 is a wasteful number, since it uses less digits than its factorization.

61018848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 61018848 is about 7811.4562022711. The cubic root of 61018848 is about 393.6902579050.

The spelling of 61018848 in words is "sixty-one million, eighteen thousand, eight hundred forty-eight".