61100466 has 64 divisors (see below), whose sum is σ = 153446400. Its totient is φ = 15814656.

The previous prime is 61100461. The next prime is 61100471. The reversal of 61100466 is 66400116.

61100466 = T₁₈₈ + T₁₈₉ + ... + T₇₁₉.

61100466 = 134² + 135² + ... + 570².

It is an interprime number because it is at equal distance from previous prime (61100461) and next prime (61100471).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61100461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16690 + ... + 20018.

It is an arithmetic number, because the mean of its divisors is an integer number (2397600).

Almost surely, 2^61100466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61100466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76723200).

61100466 is an abundant number, since it is smaller than the sum of its proper divisors (92345934).

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

61100466 is a wasteful number, since it uses less digits than its factorization.

61100466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 61100466 is about 7816.6787064584. The cubic root of 61100466 is about 393.8657113189.

The spelling of 61100466 in words is "sixty-one million, one hundred thousand, four hundred sixty-six".