61529364 has 72 divisors (see below), whose sum is σ = 169885352. Its totient is φ = 18662400.

The previous prime is 61529339. The next prime is 61529411. The reversal of 61529364 is 46392516.

It is a happy number.

61529364 is a `hidden beast` number, since 615 + 2 + 9 + 36 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32400 + 61496964 = 180^2 + 7842^2 .

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

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33264 + ... + 35064.

Almost surely, 2^61529364 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 61529364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84942676).

61529364 is an abundant number, since it is smaller than the sum of its proper divisors (108355988).

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

61529364 is a wasteful number, since it uses less digits than its factorization.

61529364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1892 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 61529364 is about 7844.0655275182. The cubic root of 61529364 is about 394.7851504779.

The spelling of 61529364 in words is "sixty-one million, five hundred twenty-nine thousand, three hundred sixty-four".