61825620 has 96 divisors (see below), whose sum is σ = 183818880. Its totient is φ = 15482880.

The previous prime is 61825619. The next prime is 61825627. The reversal of 61825620 is 2652816.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61825627) 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, 219880 + ... + 220160.

It is an arithmetic number, because the mean of its divisors is an integer number (1914780).

Almost surely, 2^61825620 is an apocalyptic number.

61825620 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 61825620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91909440).

61825620 is an abundant number, since it is smaller than the sum of its proper divisors (121993260).

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

61825620 is a wasteful number, since it uses less digits than its factorization.

61825620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 61825620 is about 7862.9269359444. The cubic root of 61825620 is about 395.4177495640.

The spelling of 61825620 in words is "sixty-one million, eight hundred twenty-five thousand, six hundred twenty".