61008444 has 192 divisors, whose sum is σ = 197406720. Its totient is φ = 15897600.

The previous prime is 61008439. The next prime is 61008463. The reversal of 61008444 is 44480016.

61008444 is a `hidden beast` number, since 610 + 0 + 8 + 4 + 44 = 666.

It is a super-2 number, since 2×61008444² = 7444060478602272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 603994 + ... + 604094.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 2^61008444 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 61008444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

61008444 is an abundant number, since it is smaller than the sum of its proper divisors (136398276).

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

61008444 is a wasteful number, since it uses less digits than its factorization.

61008444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 61008444 is about 7810.7902289077. The cubic root of 61008444 is about 393.6678812876.

The spelling of 61008444 in words is "sixty-one million, eight thousand, four hundred forty-four".