61798464 has 280 divisors, whose sum is σ = 227185728. Its totient is φ = 16174080.

The previous prime is 61798453. The next prime is 61798481. The reversal of 61798464 is 46489716.

61798464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 39 ways as a sum of consecutive naturals, for example, 471679 + ... + 471809.

Almost surely, 2^61798464 is an apocalyptic number.

61798464 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 61798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113592864).

61798464 is an abundant number, since it is smaller than the sum of its proper divisors (165387264).

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

61798464 is a wasteful number, since it uses less digits than its factorization.

61798464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 61798464 is about 7861.1999084109. The cubic root of 61798464 is about 395.3598472631.

The spelling of 61798464 in words is "sixty-one million, seven hundred ninety-eight thousand, four hundred sixty-four".