61004032 has 36 divisors (see below), whose sum is σ = 125714176. Its totient is φ = 29514240.

The previous prime is 61003993. The next prime is 61004039. The reversal of 61004032 is 23040016.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 61003997 and 61004015.

It is not an unprimeable number, because it can be changed into a prime (61004039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4093 + ... + 11779.

Almost surely, 2^61004032 is an apocalyptic number.

61004032 is a gapful number since it is divisible by the number (62) 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 61004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62857088).

61004032 is an abundant number, since it is smaller than the sum of its proper divisors (64710144).

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

61004032 is an equidigital number, since it uses as much as digits as its factorization.

61004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7734 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 61004032 is about 7810.5077939914. The cubic root of 61004032 is about 393.6583913195.

Adding to 61004032 its reverse (23040016), we get a palindrome (84044048).

The spelling of 61004032 in words is "sixty-one million, four thousand, thirty-two".