61342864 has 40 divisors (see below), whose sum is σ = 131509440. Its totient is φ = 27484800.

The previous prime is 61342861. The next prime is 61342901. The reversal of 61342864 is 46824316.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61342861) 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, 10042 + ... + 14950.

It is an arithmetic number, because the mean of its divisors is an integer number (3287736).

Almost surely, 2^61342864 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 61342864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65754720).

61342864 is an abundant number, since it is smaller than the sum of its proper divisors (70166576).

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

61342864 is a wasteful number, since it uses less digits than its factorization.

61342864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4993 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 61342864 is about 7832.1685375125. The cubic root of 61342864 is about 394.3858725758.

It can be divided in two parts, 6134 and 2864, that added together give a palindrome (8998).

The spelling of 61342864 in words is "sixty-one million, three hundred forty-two thousand, eight hundred sixty-four".