61633824 has 96 divisors (see below), whose sum is σ = 189495936. Its totient is φ = 17172480.

The previous prime is 61633799. The next prime is 61633837. The reversal of 61633824 is 42833616.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26434 + ... + 28670.

It is an arithmetic number, because the mean of its divisors is an integer number (1973916).

Almost surely, 2^61633824 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 61633824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94747968).

61633824 is an abundant number, since it is smaller than the sum of its proper divisors (127862112).

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

61633824 is a wasteful number, since it uses less digits than its factorization.

61633824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2290 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 61633824 is about 7850.7212407523. The cubic root of 61633824 is about 395.0084365020.

The spelling of 61633824 in words is "sixty-one million, six hundred thirty-three thousand, eight hundred twenty-four".