61438680 has 96 divisors (see below), whose sum is σ = 211442400. Its totient is φ = 15418368.

The previous prime is 61438679. The next prime is 61438687. The reversal of 61438680 is 8683416.

It is a happy number.

61438680 is a `hidden beast` number, since 614 + 38 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×61438680² = 7549422800284800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61438687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101 + ... + 11139.

It is an arithmetic number, because the mean of its divisors is an integer number (2202525).

Almost surely, 2^61438680 is an apocalyptic number.

61438680 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 61438680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105721200).

61438680 is an abundant number, since it is smaller than the sum of its proper divisors (150003720).

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

61438680 is a wasteful number, since it uses less digits than its factorization.

61438680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10073 (or 10066 counting only the distinct ones).

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

The square root of 61438680 is about 7838.2829752440. The cubic root of 61438680 is about 394.5911060046.

Adding to 61438680 its product of nonzero digits (27648), we get a triangular number (61466328 = T₁₁₀₈₇).

The spelling of 61438680 in words is "sixty-one million, four hundred thirty-eight thousand, six hundred eighty".