97661520 has 360 divisors, whose sum is σ = 385912800. Its totient is φ = 22049280.

The previous prime is 97661513. The next prime is 97661521. The reversal of 97661520 is 2516679.

97661520 is a `hidden beast` number, since 9 + 76 + 61 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97661521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1655251 + ... + 1655309.

It is an arithmetic number, because the mean of its divisors is an integer number (1071980).

Almost surely, 2^97661520 is an apocalyptic number.

97661520 is a gapful number since it is divisible by the number (90) 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 97661520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192956400).

97661520 is an abundant number, since it is smaller than the sum of its proper divisors (288251280).

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

97661520 is a wasteful number, since it uses less digits than its factorization.

97661520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 97661520 is about 9882.3843276813. The cubic root of 97661520 is about 460.5122208487.

The spelling of 97661520 in words is "ninety-seven million, six hundred sixty-one thousand, five hundred twenty".