61216864 has 48 divisors (see below), whose sum is σ = 130627728. Its totient is φ = 28127232.

The previous prime is 61216861. The next prime is 61216871. The reversal of 61216864 is 46861216.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61216861) 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, 22084 + ... + 24700.

It is an arithmetic number, because the mean of its divisors is an integer number (2721411).

Almost surely, 2^61216864 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 61216864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65313864).

61216864 is an abundant number, since it is smaller than the sum of its proper divisors (69410864).

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

61216864 is a wasteful number, since it uses less digits than its factorization.

61216864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2679 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 61216864 is about 7824.1206534664. The cubic root of 61216864 is about 394.1156608569.

The spelling of 61216864 in words is "sixty-one million, two hundred sixteen thousand, eight hundred sixty-four".