61817280 has 112 divisors (see below), whose sum is σ = 224332800. Its totient is φ = 14128128.

The previous prime is 61817251. The next prime is 61817291. The reversal of 61817280 is 8271816.

It is a happy number.

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

It is a super-2 number, since 2×61817280² = 7642752213196800, which contains 22 as substring.

It is a congruent number.

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, 2121 + ... + 11319.

Almost surely, 2^61817280 is an apocalyptic number.

61817280 is a gapful number since it is divisible by the number (60) 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 61817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112166400).

61817280 is an abundant number, since it is smaller than the sum of its proper divisors (162515520).

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

61817280 is a wasteful number, since it uses less digits than its factorization.

61817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9226 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 61817280 is about 7862.3965811958. The cubic root of 61817280 is about 395.3999687350.

The spelling of 61817280 in words is "sixty-one million, eight hundred seventeen thousand, two hundred eighty".