96773040 has 360 divisors, whose sum is σ = 409067568. Its totient is φ = 20321280.

The previous prime is 96773011. The next prime is 96773063. The reversal of 96773040 is 4037769.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 96772986 and 96773004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458535 + ... + 458745.

Almost surely, 2^96773040 is an apocalyptic number.

96773040 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 96773040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204533784).

96773040 is an abundant number, since it is smaller than the sum of its proper divisors (312294528).

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

96773040 is a wasteful number, since it uses less digits than its factorization.

96773040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 96773040 is about 9837.3289057549. The cubic root of 96773040 is about 459.1114542736. Note that the first 3 decimals are identical.

The spelling of 96773040 in words is "ninety-six million, seven hundred seventy-three thousand, forty".