61342848 has 96 divisors (see below), whose sum is σ = 201764160. Its totient is φ = 17524224.

The previous prime is 61342819. The next prime is 61342861. The reversal of 61342848 is 84824316.

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

It is a super-2 number, since 2×61342848² = 7525890001502208, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4261 + ... + 11867.

It is an arithmetic number, because the mean of its divisors is an integer number (2101710).

Almost surely, 2^61342848 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 61342848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100882080).

61342848 is an abundant number, since it is smaller than the sum of its proper divisors (140421312).

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

61342848 is a wasteful number, since it uses less digits than its factorization.

61342848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634 (or 7619 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 61342848 is about 7832.1675160839. The cubic root of 61342848 is about 394.3858382867.

The spelling of 61342848 in words is "sixty-one million, three hundred forty-two thousand, eight hundred forty-eight".