85962240 has 480 divisors, whose sum is σ = 375350976. Its totient is φ = 17694720.

The previous prime is 85962223. The next prime is 85962257. The reversal of 85962240 is 4226958.

It is a happy number.

85962240 is a `hidden beast` number, since 8 + 596 + 22 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (85962223) and next prime (85962257).

It is a tau number, because it is divible by the number of its divisors (480).

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 = 85962195 and 85962204.

It is a congruent number.

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, 2096620 + ... + 2096660.

Almost surely, 2^85962240 is an apocalyptic number.

85962240 is a gapful number since it is divisible by the number (80) 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 85962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675488).

85962240 is an abundant number, since it is smaller than the sum of its proper divisors (289388736).

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

85962240 is a wasteful number, since it uses less digits than its factorization.

85962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85962240 is about 9271.5823892149. The cubic root of 85962240 is about 441.3358849159.

The spelling of 85962240 in words is "eighty-five million, nine hundred sixty-two thousand, two hundred forty".