97951680 has 140 divisors (see below), whose sum is σ = 348523560. Its totient is φ = 26113536.

The previous prime is 97951673. The next prime is 97951681. The reversal of 97951680 is 8615979.

It is a super-2 number, since 2×97951680² = 19189063229644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97951681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24031 + ... + 27809.

It is an arithmetic number, because the mean of its divisors is an integer number (2489454).

Almost surely, 2^97951680 is an apocalyptic number.

97951680 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 97951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174261780).

97951680 is an abundant number, since it is smaller than the sum of its proper divisors (250571880).

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

97951680 is a wasteful number, since it uses less digits than its factorization.

97951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 97951680 is about 9897.0541071573. The cubic root of 97951680 is about 460.9678425032.

The spelling of 97951680 in words is "ninety-seven million, nine hundred fifty-one thousand, six hundred eighty".