61082700 has 288 divisors, whose sum is σ = 224985600. Its totient is φ = 12472320.

The previous prime is 61082689. The next prime is 61082711. The reversal of 61082700 is 728016.

61082700 = T₁₈₉ + T₁₉₀ + ... + T₇₁₉.

It is an interprime number because it is at equal distance from previous prime (61082689) and next prime (61082711).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1035271 + ... + 1035329.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^61082700 is an apocalyptic number.

61082700 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 61082700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

61082700 is an abundant number, since it is smaller than the sum of its proper divisors (163902900).

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

61082700 is a wasteful number, since it uses less digits than its factorization.

61082700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 61082700 is about 7815.5422076782. The cubic root of 61082700 is about 393.8275332328.

The spelling of 61082700 in words is "sixty-one million, eighty-two thousand, seven hundred".