61335820 has 96 divisors (see below), whose sum is σ = 161215488. Its totient is φ = 19084032.

The previous prime is 61335811. The next prime is 61335821. The reversal of 61335820 is 2853316.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (61335821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121689 + ... + 122191.

It is an arithmetic number, because the mean of its divisors is an integer number (1679328).

Almost surely, 2^61335820 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 61335820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80607744).

61335820 is an abundant number, since it is smaller than the sum of its proper divisors (99879668).

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

61335820 is a wasteful number, since it uses less digits than its factorization.

61335820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 61335820 is about 7831.7188407143. The cubic root of 61335820 is about 394.3707762237.

The spelling of 61335820 in words is "sixty-one million, three hundred thirty-five thousand, eight hundred twenty".