61161264 has 80 divisors (see below), whose sum is σ = 181258240. Its totient is φ = 19725120.

The previous prime is 61161263. The next prime is 61161271. The reversal of 61161264 is 46216116.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61161263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11109 + ... + 15675.

It is an arithmetic number, because the mean of its divisors is an integer number (2265728).

Almost surely, 2^61161264 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 61161264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90629120).

61161264 is an abundant number, since it is smaller than the sum of its proper divisors (120096976).

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

61161264 is a wasteful number, since it uses less digits than its factorization.

61161264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4615 (or 4603 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 61161264 is about 7820.5667313821. The cubic root of 61161264 is about 393.9963066640.

It can be divided in two parts, 61161 and 264, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 61161264 in words is "sixty-one million, one hundred sixty-one thousand, two hundred sixty-four".