61023864 has 64 divisors (see below), whose sum is σ = 168215040. Its totient is φ = 18293760.

The previous prime is 61023857. The next prime is 61023871. The reversal of 61023864 is 46832016.

61023864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61023857) and next prime (61023871).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24417 + ... + 26799.

It is an arithmetic number, because the mean of its divisors is an integer number (2628360).

Almost surely, 2^61023864 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 61023864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84107520).

61023864 is an abundant number, since it is smaller than the sum of its proper divisors (107191176).

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

61023864 is a wasteful number, since it uses less digits than its factorization.

61023864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 61023864 is about 7811.7772625696. Note that the first 3 decimals coincide. The cubic root of 61023864 is about 393.7010452617.

The spelling of 61023864 in words is "sixty-one million, twenty-three thousand, eight hundred sixty-four".