897416100 has 216 divisors, whose sum is σ = 3236612288. Its totient is φ = 203731200.

The previous prime is 897416059. The next prime is 897416101. The reversal of 897416100 is 1614798.

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

It is not an unprimeable number, because it can be changed into a prime (897416101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1139907 + ... + 1140693.

Almost surely, 2^897416100 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 897416100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618306144).

897416100 is an abundant number, since it is smaller than the sum of its proper divisors (2339196188).

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

897416100 is a wasteful number, since it uses less digits than its factorization.

897416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 897416100 is about 29956.9040456453. The cubic root of 897416100 is about 964.5645256090.

The spelling of 897416100 in words is "eight hundred ninety-seven million, four hundred sixteen thousand, one hundred".