984551040 has 384 divisors, whose sum is σ = 3809332800. Its totient is φ = 232243200.

The previous prime is 984551027. The next prime is 984551059. The reversal of 984551040 is 40155489.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 984550986 and 984551004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2597571 + ... + 2597949.

Almost surely, 2^984551040 is an apocalyptic number.

984551040 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 984551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904666400).

984551040 is an abundant number, since it is smaller than the sum of its proper divisors (2824781760).

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

984551040 is a wasteful number, since it uses less digits than its factorization.

984551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 984551040 is about 31377.5563102036. The cubic root of 984551040 is about 994.8235977607.

The spelling of 984551040 in words is "nine hundred eighty-four million, five hundred fifty-one thousand, forty".