61366032 has 240 divisors, whose sum is σ = 221652480. Its totient is φ = 16111872.

The previous prime is 61366021. The next prime is 61366043. The reversal of 61366032 is 23066316.

It is an interprime number because it is at equal distance from previous prime (61366021) and next prime (61366043).

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 = 61365987 and 61366005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275073 + ... + 275295.

It is an arithmetic number, because the mean of its divisors is an integer number (923552).

Almost surely, 2^61366032 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 61366032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110826240).

61366032 is an abundant number, since it is smaller than the sum of its proper divisors (160286448).

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

61366032 is a wasteful number, since it uses less digits than its factorization.

61366032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 61366032 is about 7833.6474263270. The cubic root of 61366032 is about 394.4355169367.

The spelling of 61366032 in words is "sixty-one million, three hundred sixty-six thousand, thirty-two".