84723408 has 240 divisors, whose sum is σ = 307646976. Its totient is φ = 21928320.

The previous prime is 84723407. The next prime is 84723409. The reversal of 84723408 is 80432748.

It is an interprime number because it is at equal distance from previous prime (84723407) and next prime (84723409).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84723407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299235 + ... + 299517.

Almost surely, 2^84723408 is an apocalyptic number.

84723408 is a gapful number since it is divisible by the number (88) 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 84723408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153823488).

84723408 is an abundant number, since it is smaller than the sum of its proper divisors (222923568).

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

84723408 is a wasteful number, since it uses less digits than its factorization.

84723408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 84723408 is about 9204.5319272628. The cubic root of 84723408 is about 439.2055360764.

The spelling of 84723408 in words is "eighty-four million, seven hundred twenty-three thousand, four hundred eight".