61695360 has 96 divisors (see below), whose sum is σ = 213061680. Its totient is φ = 16450560.

The previous prime is 61695353. The next prime is 61695377. The reversal of 61695360 is 6359616.

61695360 is a `hidden beast` number, since 61 + 69 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405 + ... + 11115.

Almost surely, 2^61695360 is an apocalyptic number.

61695360 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 61695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106530840).

61695360 is an abundant number, since it is smaller than the sum of its proper divisors (151366320).

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

61695360 is a wasteful number, since it uses less digits than its factorization.

61695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10736 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 61695360 is about 7854.6393933776. The cubic root of 61695360 is about 395.1398532712.

The spelling of 61695360 in words is "sixty-one million, six hundred ninety-five thousand, three hundred sixty".