61285680 has 160 divisors (see below), whose sum is σ = 223646400. Its totient is φ = 15372288.

The previous prime is 61285673. The next prime is 61285681. The reversal of 61285680 is 8658216.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (61285681) 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, 35886 + ... + 37554.

It is an arithmetic number, because the mean of its divisors is an integer number (1397790).

Almost surely, 2^61285680 is an apocalyptic number.

61285680 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 61285680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111823200).

61285680 is an abundant number, since it is smaller than the sum of its proper divisors (162360720).

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

61285680 is a wasteful number, since it uses less digits than its factorization.

61285680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 61285680 is about 7828.5171009585. The cubic root of 61285680 is about 394.2632852486.

The spelling of 61285680 in words is "sixty-one million, two hundred eighty-five thousand, six hundred eighty".