97919640 has 384 divisors, whose sum is σ = 406224000. Its totient is φ = 20321280.

The previous prime is 97919621. The next prime is 97919641. The reversal of 97919640 is 4691979.

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 (97919641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1605210 + ... + 1605270.

It is an arithmetic number, because the mean of its divisors is an integer number (1057875).

Almost surely, 2^97919640 is an apocalyptic number.

97919640 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 97919640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112000).

97919640 is an abundant number, since it is smaller than the sum of its proper divisors (308304360).

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

97919640 is a wasteful number, since it uses less digits than its factorization.

97919640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 97919640 is about 9895.4353112938. The cubic root of 97919640 is about 460.9175761531.

The spelling of 97919640 in words is "ninety-seven million, nine hundred nineteen thousand, six hundred forty".