61664000 has 144 divisors (see below), whose sum is σ = 160707456. Its totient is φ = 23552000.

The previous prime is 61663969. The next prime is 61664011. The reversal of 61664000 is 46616.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1311977 + ... + 1312023.

It is an arithmetic number, because the mean of its divisors is an integer number (1116024).

Almost surely, 2^61664000 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 61664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80353728).

61664000 is an abundant number, since it is smaller than the sum of its proper divisors (99043456).

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

61664000 is an equidigital number, since it uses as much as digits as its factorization.

61664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 61664000 is about 7852.6428672136. The cubic root of 61664000 is about 395.0728915313.

The spelling of 61664000 in words is "sixty-one million, six hundred sixty-four thousand".