85402240 has 128 divisors (see below), whose sum is σ = 254689920. Its totient is φ = 26603520.

The previous prime is 85402231. The next prime is 85402249. The reversal of 85402240 is 4220458.

85402240 = 1219² + 1220² + ... + 1273².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85402231) and next prime (85402249).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (85402249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48414 + ... + 50146.

It is an arithmetic number, because the mean of its divisors is an integer number (1989765).

Almost surely, 2^85402240 is an apocalyptic number.

85402240 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 85402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127344960).

85402240 is an abundant number, since it is smaller than the sum of its proper divisors (169287680).

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

85402240 is a wasteful number, since it uses less digits than its factorization.

85402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 85402240 is about 9241.3332371471. Note that the first 3 decimals coincide. The cubic root of 85402240 is about 440.3754371368.

Adding to 85402240 its reverse (4220458), we get a palindrome (89622698).

The spelling of 85402240 in words is "eighty-five million, four hundred two thousand, two hundred forty".