61283820 has 48 divisors (see below), whose sum is σ = 184796640. Its totient is φ = 15085056.

The previous prime is 61283819. The next prime is 61283821. The reversal of 61283820 is 2838216.

It is an interprime number because it is at equal distance from previous prime (61283819) and next prime (61283821).

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

It is not an unprimeable number, because it can be changed into a prime (61283821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38505 + ... + 40064.

It is an arithmetic number, because the mean of its divisors is an integer number (3849930).

Almost surely, 2^61283820 is an apocalyptic number.

61283820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61283820 is an abundant number, since it is smaller than the sum of its proper divisors (123512820).

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

61283820 is a wasteful number, since it uses less digits than its factorization.

61283820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78594 (or 78592 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 61283820 is about 7828.3983036123. The cubic root of 61283820 is about 394.2592966217.

It can be divided in two parts, 61 and 283820, that added together give a triangular number (283881 = T₇₅₃).

The spelling of 61283820 in words is "sixty-one million, two hundred eighty-three thousand, eight hundred twenty".