61032000 has 112 divisors (see below), whose sum is σ = 201606912. Its totient is φ = 16268800.

The previous prime is 61031969. The next prime is 61032031. The reversal of 61032000 is 23016.

It is an interprime number because it is at equal distance from previous prime (61031969) and next prime (61032031).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22729 + ... + 25271.

Almost surely, 2^61032000 is an apocalyptic number.

61032000 is a gapful number since it is divisible by the number (60) 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 61032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100803456).

61032000 is an abundant number, since it is smaller than the sum of its proper divisors (140574912).

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

61032000 is a wasteful number, since it uses less digits than its factorization.

61032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 61032000 is about 7812.2979973885. The cubic root of 61032000 is about 393.7185412004.

Adding to 61032000 its reverse (23016), we get a palindrome (61055016).

The spelling of 61032000 in words is "sixty-one million, thirty-two thousand".