61466040 has 160 divisors (see below), whose sum is σ = 210656160. Its totient is φ = 16070400.

The previous prime is 61466039. The next prime is 61466057. The reversal of 61466040 is 4066416.

61466040 is a `hidden beast` number, since 614 + 6 + 6 + 0 + 40 = 666.

It is a super-3 number, since 3×61466040³ (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 61465995 and 61466013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 197485 + ... + 197795.

It is an arithmetic number, because the mean of its divisors is an integer number (1316601).

Almost surely, 2^61466040 is an apocalyptic number.

61466040 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 61466040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105328080).

61466040 is an abundant number, since it is smaller than the sum of its proper divisors (149190120).

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

61466040 is a wasteful number, since it uses less digits than its factorization.

61466040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 61466040 is about 7840.0280611743. The cubic root of 61466040 is about 394.6496706878.

The spelling of 61466040 in words is "sixty-one million, four hundred sixty-six thousand, forty".