61432000 has 112 divisors (see below), whose sum is σ = 174028608. Its totient is φ = 21043200.

The previous prime is 61431991. The next prime is 61432009. The reversal of 61432000 is 23416.

61432000 = 203² + 204² + ... + 577².

It is an interprime number because it is at equal distance from previous prime (61431991) and next prime (61432009).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (61432009) 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, 55452 + ... + 56548.

Almost surely, 2^61432000 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 61432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87014304).

61432000 is an abundant number, since it is smaller than the sum of its proper divisors (112596608).

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

61432000 is a wasteful number, since it uses less digits than its factorization.

61432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1111 counting only the distinct ones).

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

The square root of 61432000 is about 7837.8568499303. The cubic root of 61432000 is about 394.5768046767.

Adding to 61432000 its reverse (23416), we get a palindrome (61455416).

The spelling of 61432000 in words is "sixty-one million, four hundred thirty-two thousand".