61438608 has 160 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 15949440.

The previous prime is 61438583. The next prime is 61438633. The reversal of 61438608 is 80683416.

It is a happy number.

61438608 is a `hidden beast` number, since 6 + 1 + 43 + 8 + 608 = 666.

61438608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61438583) and next prime (61438633).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32341 + ... + 34187.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 2^61438608 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 61438608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

61438608 is an abundant number, since it is smaller than the sum of its proper divisors (158547312).

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

61438608 is a wasteful number, since it uses less digits than its factorization.

61438608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 61438608 is about 7838.2783824001. The cubic root of 61438608 is about 394.5909518641.

61438608 divided by its sum of digits (36) gives a triangular number (1706628 = T₁₈₄₇).

The spelling of 61438608 in words is "sixty-one million, four hundred thirty-eight thousand, six hundred eight".