97953840 has 160 divisors (see below), whose sum is σ = 341496000. Its totient is φ = 25804800.

The previous prime is 97953833. The next prime is 97953841. The reversal of 97953840 is 4835979.

97953840 is a `hidden beast` number, since 9 + 79 + 538 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (97953841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217936 + ... + 218384.

It is an arithmetic number, because the mean of its divisors is an integer number (2134350).

Almost surely, 2^97953840 is an apocalyptic number.

97953840 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 97953840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170748000).

97953840 is an abundant number, since it is smaller than the sum of its proper divisors (243542160).

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

97953840 is a wasteful number, since it uses less digits than its factorization.

97953840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 97953840 is about 9897.1632299361. The cubic root of 97953840 is about 460.9712308515.

The spelling of 97953840 in words is "ninety-seven million, nine hundred fifty-three thousand, eight hundred forty".