97783920 has 240 divisors, whose sum is σ = 366143232. Its totient is φ = 23224320.

The previous prime is 97783913. The next prime is 97783927. The reversal of 97783920 is 2938779.

It is an interprime number because it is at equal distance from previous prime (97783913) and next prime (97783927).

It is a tau number, because it is divible by the number of its divisors (240).

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 (97783927) 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, 289992 + ... + 290328.

Almost surely, 2^97783920 is an apocalyptic number.

97783920 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 97783920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183071616).

97783920 is an abundant number, since it is smaller than the sum of its proper divisors (268359312).

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

97783920 is a wasteful number, since it uses less digits than its factorization.

97783920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 97783920 is about 9888.5752259868. The cubic root of 97783920 is about 460.7045284704.

The spelling of 97783920 in words is "ninety-seven million, seven hundred eighty-three thousand, nine hundred twenty".