31468500 has 288 divisors, whose sum is σ = 120836352. Its totient is φ = 6998400.

The previous prime is 31468499. The next prime is 31468511. The reversal of 31468500 is 586413.

It is a super-3 number, since 3×31468500³ (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 850482 + ... + 850518.

Almost surely, 2^31468500 is an apocalyptic number.

31468500 is a gapful number since it is divisible by the number (30) 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 31468500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60418176).

31468500 is an abundant number, since it is smaller than the sum of its proper divisors (89367852).

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

31468500 is a wasteful number, since it uses less digits than its factorization.

31468500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 31468500 is about 5609.6791352091. The cubic root of 31468500 is about 315.7126721125.

The spelling of 31468500 in words is "thirty-one million, four hundred sixty-eight thousand, five hundred".