97679736 has 192 divisors, whose sum is σ = 344736000. Its totient is φ = 25341120.

The previous prime is 97679731. The next prime is 97679737. The reversal of 97679736 is 63797679.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97679731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116005 + ... + 116843.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2^97679736 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 97679736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

97679736 is an abundant number, since it is smaller than the sum of its proper divisors (247056264).

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

97679736 is a wasteful number, since it uses less digits than its factorization.

97679736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 862 counting only the distinct ones).

The product of its digits is 3000564, while the sum is 54.

The square root of 97679736 is about 9883.3059246388. The cubic root of 97679736 is about 460.5408509209.

It can be divided in two parts, 9767 and 9736, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 97679736 in words is "ninety-seven million, six hundred seventy-nine thousand, seven hundred thirty-six".