61664652 has 192 divisors, whose sum is σ = 198374400. Its totient is φ = 16376256.

The previous prime is 61664651. The next prime is 61664653. The reversal of 61664652 is 25646616.

It is a happy number.

61664652 is a `hidden beast` number, since 6 + 1 + 6 + 646 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (61664651) and next prime (61664653).

It is a super-2 number, since 2×61664652² = 7605058612562208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (61664651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1163458 + ... + 1163510.

It is an arithmetic number, because the mean of its divisors is an integer number (1033200).

Almost surely, 2^61664652 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 61664652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99187200).

61664652 is an abundant number, since it is smaller than the sum of its proper divisors (136709748).

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

61664652 is a wasteful number, since it uses less digits than its factorization.

61664652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 61664652 is about 7852.6843817895. The cubic root of 61664652 is about 395.0742839516.

The spelling of 61664652 in words is "sixty-one million, six hundred sixty-four thousand, six hundred fifty-two".