61366464 has 112 divisors (see below), whose sum is σ = 191109600. Its totient is φ = 19243008.

The previous prime is 61366451. The next prime is 61366469. The reversal of 61366464 is 46466316.

61366464 is a `hidden beast` number, since 6 + 1 + 3 + 6 + 646 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61366469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28332 + ... + 30420.

Almost surely, 2^61366464 is an apocalyptic number.

61366464 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 61366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95554800).

61366464 is an abundant number, since it is smaller than the sum of its proper divisors (129743136).

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

61366464 is a wasteful number, since it uses less digits than its factorization.

61366464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2111 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 61366464 is about 7833.6749996410. The cubic root of 61366464 is about 394.4364425070.

The spelling of 61366464 in words is "sixty-one million, three hundred sixty-six thousand, four hundred sixty-four".