61806672 has 80 divisors (see below), whose sum is σ = 178649280. Its totient is φ = 20458368.

The previous prime is 61806671. The next prime is 61806683. The reversal of 61806672 is 27660816.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61806671) 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, 74323 + ... + 75149.

It is an arithmetic number, because the mean of its divisors is an integer number (2233116).

Almost surely, 2^61806672 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 61806672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89324640).

61806672 is an abundant number, since it is smaller than the sum of its proper divisors (116842608).

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

61806672 is a wasteful number, since it uses less digits than its factorization.

61806672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 61806672 is about 7861.7219487845. The cubic root of 61806672 is about 395.3773502330.

The spelling of 61806672 in words is "sixty-one million, eight hundred six thousand, six hundred seventy-two".