99767920 has 120 divisors (see below), whose sum is σ = 278875008. Its totient is φ = 33062400.

The previous prime is 99767903. The next prime is 99767923. The reversal of 99767920 is 2976799.

It is a super-2 number, since 2×99767920² = 19907275722252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99767923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121110 + ... + 121930.

Almost surely, 2^99767920 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 99767920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139437504).

99767920 is an abundant number, since it is smaller than the sum of its proper divisors (179107088).

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

99767920 is a wasteful number, since it uses less digits than its factorization.

99767920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 49.

The square root of 99767920 is about 9988.3892595353. The cubic root of 99767920 is about 463.7995319113.

The spelling of 99767920 in words is "ninety-nine million, seven hundred sixty-seven thousand, nine hundred twenty".