61301664 has 48 divisors (see below), whose sum is σ = 178799040. Its totient is φ = 20433600.

The previous prime is 61301659. The next prime is 61301671. The reversal of 61301664 is 46610316.

61301664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 7 ways as a sum of consecutive naturals, for example, 34612 + ... + 36339.

It is an arithmetic number, because the mean of its divisors is an integer number (3724980).

Almost surely, 2^61301664 is an apocalyptic number.

It is an amenable number.

61301664 is an abundant number, since it is smaller than the sum of its proper divisors (117497376).

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

61301664 is a wasteful number, since it uses less digits than its factorization.

61301664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70970 (or 70956 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 61301664 is about 7829.5379173997. The cubic root of 61301664 is about 394.2975583804.

The spelling of 61301664 in words is "sixty-one million, three hundred one thousand, six hundred sixty-four".