61746030 has 128 divisors (see below), whose sum is σ = 175703040. Its totient is φ = 15396480.

The previous prime is 61746011. The next prime is 61746071. The reversal of 61746030 is 3064716.

61746030 is a `hidden beast` number, since 617 + 46 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61745985 and 61746003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378729 + ... + 378891.

It is an arithmetic number, because the mean of its divisors is an integer number (1372680).

Almost surely, 2^61746030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61746030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87851520).

61746030 is an abundant number, since it is smaller than the sum of its proper divisors (113957010).

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

61746030 is a wasteful number, since it uses less digits than its factorization.

61746030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 61746030 is about 7857.8642136397. The cubic root of 61746030 is about 395.2479989385.

The spelling of 61746030 in words is "sixty-one million, seven hundred forty-six thousand, thirty".