61938432 has 180 divisors, whose sum is σ = 192912720. Its totient is φ = 19740672.

The previous prime is 61938431. The next prime is 61938467. The reversal of 61938432 is 23483916.

61938432 is a `hidden beast` number, since 619 + 3 + 8 + 4 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61938431) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 601293 + ... + 601395.

Almost surely, 2^61938432 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 61938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96456360).

61938432 is an abundant number, since it is smaller than the sum of its proper divisors (130974288).

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

61938432 is a wasteful number, since it uses less digits than its factorization.

61938432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 61938432 is about 7870.0973310373. The cubic root of 61938432 is about 395.6581071101.

The spelling of 61938432 in words is "sixty-one million, nine hundred thirty-eight thousand, four hundred thirty-two".