61529664 has 112 divisors (see below), whose sum is σ = 197071488. Its totient is φ = 16539648.

The previous prime is 61529641. The next prime is 61529687. The reversal of 61529664 is 46692516.

61529664 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 (61529641) and next prime (61529687).

It is a tau number, because it is divible by the number of its divisors (112).

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, 21502 + ... + 24194.

Almost surely, 2^61529664 is an apocalyptic number.

61529664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98535744).

61529664 is an abundant number, since it is smaller than the sum of its proper divisors (135541824).

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

61529664 is a wasteful number, since it uses less digits than its factorization.

61529664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2722 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 61529664 is about 7844.0846502317. The cubic root of 61529664 is about 394.7857920976.

The spelling of 61529664 in words is "sixty-one million, five hundred twenty-nine thousand, six hundred sixty-four".